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Finding the Third Proportional to 38,352,667 and 82,397,366

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Solution

The third proportional to 38,352,667 and 82,397,366 is: 177,023,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,352,667 : 82,397,366 = 82,397,366 : x
  2. Step 2: Convert to fraction form
    38,352,667/82,397,366 = 82,397,366/x
  3. Step 3: Cross multiply
    38,352,667x = 82,397,366 × 82,397,366
  4. Step 4: Simplify right side
    38,352,667x = 6,789,325,923,737,956
  5. Step 5: Solve for x
    x = 6,789,325,923,737,956/38,352,667
  6. Step 6: Final answer
    x = 177,023,567.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.