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Finding the Third Proportional to 38,428,827 and 82,981,110

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Solution

The third proportional to 38,428,827 and 82,981,110 is: 179,184,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,428,827 : 82,981,110 = 82,981,110 : x
  2. Step 2: Convert to fraction form
    38,428,827/82,981,110 = 82,981,110/x
  3. Step 3: Cross multiply
    38,428,827x = 82,981,110 × 82,981,110
  4. Step 4: Simplify right side
    38,428,827x = 6,885,864,616,832,100
  5. Step 5: Solve for x
    x = 6,885,864,616,832,100/38,428,827
  6. Step 6: Final answer
    x = 179,184,876.42

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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.