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Finding the Third Proportional to 6,422,410 and 8,747,799

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Solution

The third proportional to 6,422,410 and 8,747,799 is: 11,915,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422,410 : 8,747,799 = 8,747,799 : x
  2. Step 2: Convert to fraction form
    6,422,410/8,747,799 = 8,747,799/x
  3. Step 3: Cross multiply
    6,422,410x = 8,747,799 × 8,747,799
  4. Step 4: Simplify right side
    6,422,410x = 76,523,987,344,401
  5. Step 5: Solve for x
    x = 76,523,987,344,401/6,422,410
  6. Step 6: Final answer
    x = 11,915,151.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.