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Finding the Third Proportional to 4,332,481.17 and 6,747,153.42

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Solution

The third proportional to 4,332,481.17 and 6,747,153.42 is: 10,507,623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332,481.17 : 6,747,153.42 = 6,747,153.42 : x
  2. Step 2: Convert to fraction form
    4,332,481.17/6,747,153.42 = 6,747,153.42/x
  3. Step 3: Cross multiply
    4,332,481.17x = 6,747,153.42 × 6,747,153.42
  4. Step 4: Simplify right side
    4,332,481.17x = 45,524,079,337,855.14
  5. Step 5: Solve for x
    x = 45,524,079,337,855.14/4,332,481.17
  6. Step 6: Final answer
    x = 10,507,623.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.