I own a boat on Lake Michigan, and am certainly a "numbers guy." Lake Michigan and lakes of this size are so huge that they are measured not in acres, but typically in square miles. The Lake is 22,400 square miles which translates to 14,336,000 acreas of surface area. 5th largest lake in the world.
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The total area of Michigan state is 96,700 square miles of which 56,500 square miles is land and the rest water.