Cayman Islands is about 545 times smaller than Illinois.

Illinois is approximately 143,961 sq km, while Cayman Islands is approximately 264 sq km, making Cayman Islands 0.18% the size of Illinois. Meanwhile, the population of Illinois is ~12.8 million people (12.8 million fewer people live in Cayman Islands).
This to-scale comparison of Illinois vs. Cayman Islands uses the Mercator projection, which distorts the size of regions near the poles. Learn more.

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