Cayman Islands is about 171 times smaller than Estonia.

Estonia is approximately 45,228 sq km, while Cayman Islands is approximately 264 sq km, making Cayman Islands 0.58% the size of Estonia. Meanwhile, the population of Estonia is ~1.2 million people (1.1 million fewer people live in Cayman Islands).
This to-scale comparison of Estonia vs. Cayman Islands uses the Mercator projection, which distorts the size of regions near the poles. Learn more.

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