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Finding the Third Proportional to 3,414,835.13 and 7,313,815.69

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Solution

The third proportional to 3,414,835.13 and 7,313,815.69 is: 15,664,562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414,835.13 : 7,313,815.69 = 7,313,815.69 : x
  2. Step 2: Convert to fraction form
    3,414,835.13/7,313,815.69 = 7,313,815.69/x
  3. Step 3: Cross multiply
    3,414,835.13x = 7,313,815.69 × 7,313,815.69
  4. Step 4: Simplify right side
    3,414,835.13x = 53,491,899,910,721.09
  5. Step 5: Solve for x
    x = 53,491,899,910,721.09/3,414,835.13
  6. Step 6: Final answer
    x = 15,664,562.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.