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Finding the Third Proportional to 7,342,113 and 15,747,107

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Solution

The third proportional to 7,342,113 and 15,747,107 is: 33,773,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342,113 : 15,747,107 = 15,747,107 : x
  2. Step 2: Convert to fraction form
    7,342,113/15,747,107 = 15,747,107/x
  3. Step 3: Cross multiply
    7,342,113x = 15,747,107 × 15,747,107
  4. Step 4: Simplify right side
    7,342,113x = 247,971,378,869,449
  5. Step 5: Solve for x
    x = 247,971,378,869,449/7,342,113
  6. Step 6: Final answer
    x = 33,773,843.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.