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Finding the Third Proportional to 241,456,338 and 523,745,016

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Solution

The third proportional to 241,456,338 and 523,745,016 is: 1,136,059,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,456,338 : 523,745,016 = 523,745,016 : x
  2. Step 2: Convert to fraction form
    241,456,338/523,745,016 = 523,745,016/x
  3. Step 3: Cross multiply
    241,456,338x = 523,745,016 × 523,745,016
  4. Step 4: Simplify right side
    241,456,338x = 274,308,841,784,840,256
  5. Step 5: Solve for x
    x = 274,308,841,784,840,256/241,456,338
  6. Step 6: Final answer
    x = 1,136,059,811.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.