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Finding the Third Proportional to 38,007,883 and 82,982,626

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Solution

The third proportional to 38,007,883 and 82,982,626 is: 181,176,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,007,883 : 82,982,626 = 82,982,626 : x
  2. Step 2: Convert to fraction form
    38,007,883/82,982,626 = 82,982,626/x
  3. Step 3: Cross multiply
    38,007,883x = 82,982,626 × 82,982,626
  4. Step 4: Simplify right side
    38,007,883x = 6,886,116,217,855,876
  5. Step 5: Solve for x
    x = 6,886,116,217,855,876/38,007,883
  6. Step 6: Final answer
    x = 181,176,000.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.