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Finding the Third Proportional to 23,840,829 and 51,491,691

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Solution

The third proportional to 23,840,829 and 51,491,691 is: 111,212,334.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840,829 : 51,491,691 = 51,491,691 : x
  2. Step 2: Convert to fraction form
    23,840,829/51,491,691 = 51,491,691/x
  3. Step 3: Cross multiply
    23,840,829x = 51,491,691 × 51,491,691
  4. Step 4: Simplify right side
    23,840,829x = 2,651,394,242,039,481
  5. Step 5: Solve for x
    x = 2,651,394,242,039,481/23,840,829
  6. Step 6: Final answer
    x = 111,212,334.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.