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A machine can fill 5400 bottles in 3 hours. How many bottles can it fill in 8 hours?

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The machine fills 5400 bottles in 3 hours. Therefore, in 1 hour, the machine can fill 5400 / 3 = <<5400/3=1800>>1800 bottles.
In 8 hours, the machine can fill 1800 * 8 = <<1800*8=14400>>14400 bottles. Answer: \boxed{14400}.

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