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Finding the Third Proportional to 5,507,158.50 and 7,741,598

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Solution

The third proportional to 5,507,158.50 and 7,741,598 is: 10,882,624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507,158.50 : 7,741,598 = 7,741,598 : x
  2. Step 2: Convert to fraction form
    5,507,158.50/7,741,598 = 7,741,598/x
  3. Step 3: Cross multiply
    5,507,158.50x = 7,741,598 × 7,741,598
  4. Step 4: Simplify right side
    5,507,158.50x = 59,932,339,593,604
  5. Step 5: Solve for x
    x = 59,932,339,593,604/5,507,158.50
  6. Step 6: Final answer
    x = 10,882,624.79

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Why These Related Problems?

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