Cayman Islands is about 757 times smaller than Kyrgyzstan.

Kyrgyzstan is approximately 199,951 sq km, while Cayman Islands is approximately 264 sq km, making Cayman Islands 0.13% the size of Kyrgyzstan. Meanwhile, the population of Kyrgyzstan is ~6.1 million people (6.0 million fewer people live in Cayman Islands).
This to-scale comparison of Kyrgyzstan vs. Cayman Islands uses the Mercator projection, which distorts the size of regions near the poles. Learn more.

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