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Finding the Third Proportional to 71,648,638 and 107,360,448

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Solution

The third proportional to 71,648,638 and 107,360,448 is: 160,872,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,648,638 : 107,360,448 = 107,360,448 : x
  2. Step 2: Convert to fraction form
    71,648,638/107,360,448 = 107,360,448/x
  3. Step 3: Cross multiply
    71,648,638x = 107,360,448 × 107,360,448
  4. Step 4: Simplify right side
    71,648,638x = 11,526,265,794,760,704
  5. Step 5: Solve for x
    x = 11,526,265,794,760,704/71,648,638
  6. Step 6: Final answer
    x = 160,872,085.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.