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Finding the Third Proportional to 10,842,761.25 and 15,902,011.13

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Solution

The third proportional to 10,842,761.25 and 15,902,011.13 is: 23,321,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842,761.25 : 15,902,011.13 = 15,902,011.13 : x
  2. Step 2: Convert to fraction form
    10,842,761.25/15,902,011.13 = 15,902,011.13/x
  3. Step 3: Cross multiply
    10,842,761.25x = 15,902,011.13 × 15,902,011.13
  4. Step 4: Simplify right side
    10,842,761.25x = 252,873,957,819,623.75
  5. Step 5: Solve for x
    x = 252,873,957,819,623.75/10,842,761.25
  6. Step 6: Final answer
    x = 23,321,915.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.