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Finding the Third Proportional to 71,648,637 and 107,360,446.13

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Solution

The third proportional to 71,648,637 and 107,360,446.13 is: 160,872,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,648,637 : 107,360,446.13 = 107,360,446.13 : x
  2. Step 2: Convert to fraction form
    71,648,637/107,360,446.13 = 107,360,446.13/x
  3. Step 3: Cross multiply
    71,648,637x = 107,360,446.13 × 107,360,446.13
  4. Step 4: Simplify right side
    71,648,637x = 11,526,265,392,159,028
  5. Step 5: Solve for x
    x = 11,526,265,392,159,028/71,648,637
  6. Step 6: Final answer
    x = 160,872,081.80

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Why These Related Problems?

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