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Finding the Third Proportional to 53,832,459 and 83,516,712

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Solution

The third proportional to 53,832,459 and 83,516,712 is: 129,569,432.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,832,459 : 83,516,712 = 83,516,712 : x
  2. Step 2: Convert to fraction form
    53,832,459/83,516,712 = 83,516,712/x
  3. Step 3: Cross multiply
    53,832,459x = 83,516,712 × 83,516,712
  4. Step 4: Simplify right side
    53,832,459x = 6,975,041,183,290,944
  5. Step 5: Solve for x
    x = 6,975,041,183,290,944/53,832,459
  6. Step 6: Final answer
    x = 129,569,432.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.