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Finding the Third Proportional to 10,220,449 and 15,709,534

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Solution

The third proportional to 10,220,449 and 15,709,534 is: 24,146,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220,449 : 15,709,534 = 15,709,534 : x
  2. Step 2: Convert to fraction form
    10,220,449/15,709,534 = 15,709,534/x
  3. Step 3: Cross multiply
    10,220,449x = 15,709,534 × 15,709,534
  4. Step 4: Simplify right side
    10,220,449x = 246,789,458,497,156
  5. Step 5: Solve for x
    x = 246,789,458,497,156/10,220,449
  6. Step 6: Final answer
    x = 24,146,635.68

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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.