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Finding the Third Proportional to 8,654,470 and 13,400,025

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Solution

The third proportional to 8,654,470 and 13,400,025 is: 20,747,737.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654,470 : 13,400,025 = 13,400,025 : x
  2. Step 2: Convert to fraction form
    8,654,470/13,400,025 = 13,400,025/x
  3. Step 3: Cross multiply
    8,654,470x = 13,400,025 × 13,400,025
  4. Step 4: Simplify right side
    8,654,470x = 179,560,670,000,625
  5. Step 5: Solve for x
    x = 179,560,670,000,625/8,654,470
  6. Step 6: Final answer
    x = 20,747,737.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.