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To calculate the number of years in a quintillion seconds, we need to determine the number of seconds in a year and then divide the total number of seconds by that value.

There are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day. Thus, there are 60 x 60 x 24 = 86,400 seconds in a day.

Next, we need to determine the number of days in a year. A common approach is to consider an average year of 365.25 days to account for leap years, which occur every four years. Multiplying 365.25 by 86,400 gives us approximately 31,557,600 seconds in a year.

Finally, to find the number of years in a quintillion seconds, we divide the total number of seconds by the number of seconds in a year:

1,000,000,000,000,000,000 seconds ÷ 31,557,600 seconds/year ≈ 31,709,791.34 years.

Therefore, a quintillion seconds is approximately 31.71 million years.

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