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Finding the Third Proportional to 9,955,098 and 15,829,227

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Solution

The third proportional to 9,955,098 and 15,829,227 is: 25,169,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955,098 : 15,829,227 = 15,829,227 : x
  2. Step 2: Convert to fraction form
    9,955,098/15,829,227 = 15,829,227/x
  3. Step 3: Cross multiply
    9,955,098x = 15,829,227 × 15,829,227
  4. Step 4: Simplify right side
    9,955,098x = 250,564,427,417,529
  5. Step 5: Solve for x
    x = 250,564,427,417,529/9,955,098
  6. Step 6: Final answer
    x = 25,169,458.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.