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Finding the Third Proportional to 3,413,729.50 and 7,333,493

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Solution

The third proportional to 3,413,729.50 and 7,333,493 is: 15,754,065.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413,729.50 : 7,333,493 = 7,333,493 : x
  2. Step 2: Convert to fraction form
    3,413,729.50/7,333,493 = 7,333,493/x
  3. Step 3: Cross multiply
    3,413,729.50x = 7,333,493 × 7,333,493
  4. Step 4: Simplify right side
    3,413,729.50x = 53,780,119,581,049
  5. Step 5: Solve for x
    x = 53,780,119,581,049/3,413,729.50
  6. Step 6: Final answer
    x = 15,754,065.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.