DK-GEORGMOHR 2025 Problem 4
Two semicircles with diameters and lie inside a third semicircle as shown in the figure. The two small semicircles are tangent to each other, and their diameters are parallel. What is the diameter of the large semicircle?

Dataset text AI-MO AoPS. Quoted with source.
Official text: Georg Mohr Contest 2025 official paper, page 1.
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