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Finding the Third Proportional to 10,346,638 and 15,663,098

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Solution

The third proportional to 10,346,638 and 15,663,098 is: 23,711,338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346,638 : 15,663,098 = 15,663,098 : x
  2. Step 2: Convert to fraction form
    10,346,638/15,663,098 = 15,663,098/x
  3. Step 3: Cross multiply
    10,346,638x = 15,663,098 × 15,663,098
  4. Step 4: Simplify right side
    10,346,638x = 245,332,638,957,604
  5. Step 5: Solve for x
    x = 245,332,638,957,604/10,346,638
  6. Step 6: Final answer
    x = 23,711,338.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.