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Finding the Third Proportional to 38,522,331 and 82,499,085

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Solution

The third proportional to 38,522,331 and 82,499,085 is: 176,679,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,522,331 : 82,499,085 = 82,499,085 : x
  2. Step 2: Convert to fraction form
    38,522,331/82,499,085 = 82,499,085/x
  3. Step 3: Cross multiply
    38,522,331x = 82,499,085 × 82,499,085
  4. Step 4: Simplify right side
    38,522,331x = 6,806,099,025,837,225
  5. Step 5: Solve for x
    x = 6,806,099,025,837,225/38,522,331
  6. Step 6: Final answer
    x = 176,679,314.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.