The result leaves Australia with two points after two games played in Group A and nearly certainly needing to beat England in their final game to reach the semi-finals. The veteran batsman's lone fight was ended by Mitchell Starc (4-29), leaving him five runs short of a deserving century.
If the clouds in London had a silver lining for Australia, it was that they put in a much-improved performance, bowling Bangladesh out inside 45 overs as all of their bowlers proved more accurate than they had been against New Zealand.
The Australian bowlers received a severe thrashing at the hands of New Zealand batsmen in their previous game before rain gods intervened and the match was abandoned.
Security was heightened for Sunday's India vs Pakistan match at Edgbaston in Birmingham with both teams observing a minute of silence before play.
Steven Smith's men earned a single point from their encounter against New Zealand when rain washed the game away.
Beyond reminding Australia of who they are, Bangladesh are aiming to make an impact at the Champions Trophy, having missed out on the last two editions of the tournament.
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However, the pair's dismissal in successive balls led to the side surrendering a position of real strength to score 6-305 - a total that was chased down by the hosts with 16 balls to spare.
"It's a little bit frustrating not to get a result in", Smith said. "Normally 300 in one-day cricket is good enough, but with the [fielding restrictions] they have got now, and if the wicket is like this, you have to rethink it". Starc's blistering spell was some consolation for Smith, but he was still left to rue the weather and what he felt was the umpires' quick decision to go off, thus denying Australia a chance for those vital four overs. "I was happy to keep batting through the rain", Smith said. Both teams made one change, with Australia spinner Adam Zampa coming in for John Hastings, while Bangladesh opted for Mehedi Hasan in place of Mosaddek Hossain.
"I thought all our bowlers were a lot better today", said Smith.
They have won 554 of those games, more than any other country!
With heavy rain forecasted, Australia were expected to race out of the blocks but David Warner and Aaron Finch showed restraint to reach 40 unbeaten after seven overs. "I think our team probably respond to must-win games really well", he said.
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