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Finding the Third Proportional to 10,948,015.69 and 15,399,757.13

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Solution

The third proportional to 10,948,015.69 and 15,399,757.13 is: 21,661,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948,015.69 : 15,399,757.13 = 15,399,757.13 : x
  2. Step 2: Convert to fraction form
    10,948,015.69/15,399,757.13 = 15,399,757.13/x
  3. Step 3: Cross multiply
    10,948,015.69x = 15,399,757.13 × 15,399,757.13
  4. Step 4: Simplify right side
    10,948,015.69x = 237,152,519,508,988.25
  5. Step 5: Solve for x
    x = 237,152,519,508,988.25/10,948,015.69
  6. Step 6: Final answer
    x = 21,661,689.78

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.