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Finding the Third Proportional to 38,428,829 and 82,981,114

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Solution

The third proportional to 38,428,829 and 82,981,114 is: 179,184,884.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,428,829 : 82,981,114 = 82,981,114 : x
  2. Step 2: Convert to fraction form
    38,428,829/82,981,114 = 82,981,114/x
  3. Step 3: Cross multiply
    38,428,829x = 82,981,114 × 82,981,114
  4. Step 4: Simplify right side
    38,428,829x = 6,885,865,280,680,996
  5. Step 5: Solve for x
    x = 6,885,865,280,680,996/38,428,829
  6. Step 6: Final answer
    x = 179,184,884.37

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Why These Related Problems?

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