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Finding the Third Proportional to 22,770,098 and 34,977,366

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Solution

The third proportional to 22,770,098 and 34,977,366 is: 53,729,067.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770,098 : 34,977,366 = 34,977,366 : x
  2. Step 2: Convert to fraction form
    22,770,098/34,977,366 = 34,977,366/x
  3. Step 3: Cross multiply
    22,770,098x = 34,977,366 × 34,977,366
  4. Step 4: Simplify right side
    22,770,098x = 1,223,416,132,297,956
  5. Step 5: Solve for x
    x = 1,223,416,132,297,956/22,770,098
  6. Step 6: Final answer
    x = 53,729,067.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.