The half-life of radium is 3200 years, during which time 75% of atomic nuclei from their initial number will decay.

The half-life of radium is 3200 years, knowing this, we find in how many years 75% of the radium atoms will decay.

After a first half-life of 3,200 years, 50% of the radium atoms have decayed.

After a second half-life of 3,200 years, 25% of the radium atoms have decayed.

75% of radium atoms decayed in 2 half-lives or 6400 years.

Answer: 6400 years.



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