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Finding the Third Proportional to 3,466,520 and 7,729,655

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Solution

The third proportional to 3,466,520 and 7,729,655 is: 17,235,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466,520 : 7,729,655 = 7,729,655 : x
  2. Step 2: Convert to fraction form
    3,466,520/7,729,655 = 7,729,655/x
  3. Step 3: Cross multiply
    3,466,520x = 7,729,655 × 7,729,655
  4. Step 4: Simplify right side
    3,466,520x = 59,747,566,419,025
  5. Step 5: Solve for x
    x = 59,747,566,419,025/3,466,520
  6. Step 6: Final answer
    x = 17,235,604.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.