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Is 138 square meters as big as Lake Superior?

It's about 0.000000002 times as big as Lake Superior
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The size of Lake Superior is about 82,100,000,000 square meters.
(a.k.a. Lac Supérieur, a.k.a. Gitchigumi, a.k.a. Gitche Gumee) (surface area)
Both the largest of North America's Great Lakes and the largest freshwater lake in the world (by surface area), Lake Superior has a total area of 82,100,000,000 square meters. It borders the cities of Duluth, Minnesota and Thunder Bay, Ontario, Canada
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