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The scientists collected dust samples at different parts of the moon and determined the percentage of thorium-232 and lead-208.

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Analysis of lunar dust samples for radioactive elements like thorium-232 and lead-208 assists in dating the moon's geological history. Techniques from Earth-based radioactive dating were applied to Apollo mission rock samples, revealing the Moon's solidification ages and helping to understand its composition and history.

Step-by-step explanation:

The analysis of dust samples from different parts of the moon that contain thorium-232 and lead-208 helps scientists determine the geological history and composition of the lunar surface. Through the application of radioactive dating techniques, developed on Earth, to the rock samples brought back by the Apollo astronauts, we can establish a geological chronology of the moon. These samples show that the Moon's solidification ages range from about 3.3 to 4.4 billion years old.

The seismometers left on the moon's surface as a part of the Apollo program revealed that the moon is seismically quieter than Earth and lacks a large metal core. Additionally, the solar wind composition analysis, carried out using metal foils exposed on the moon's surface, provides insight into the ions present in the lunar environment. This deep study of lunar samples has led to an understanding that there is some water and other volatiles in lunar rocks, counter to what was previously believed.

Moreover, placing corner reflectors on the moon has allowed for accurate measurements of distance between Earth and the moon's surface, further adding to the detailed knowledge we hold about our nearest celestial neighbor.

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