The bacterium covers 7 more millimeters every hour, so after 24 hours, it will cover 7 * 24 = <<7*24=168>>168 more millimeters.
In total, after 24 hours, the bacterium will cover 3 + 168 = <<3+168=171>>171 millimeters. Answer: \boxed{171}.
if a bacterium covers three milimetes, and every hour it covers 7 more milimeters, how many milimeters will it cover after 24 hours?
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