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Finding the Third Proportional to 7,198,966.13 and 15,744,744.56

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Solution

The third proportional to 7,198,966.13 and 15,744,744.56 is: 34,435,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198,966.13 : 15,744,744.56 = 15,744,744.56 : x
  2. Step 2: Convert to fraction form
    7,198,966.13/15,744,744.56 = 15,744,744.56/x
  3. Step 3: Cross multiply
    7,198,966.13x = 15,744,744.56 × 15,744,744.56
  4. Step 4: Simplify right side
    7,198,966.13x = 247,896,981,338,373.31
  5. Step 5: Solve for x
    x = 247,896,981,338,373.31/7,198,966.13
  6. Step 6: Final answer
    x = 34,435,080.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.