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Finding the Third Proportional to 4,199,777 and 6,515,451

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Solution

The third proportional to 4,199,777 and 6,515,451 is: 10,107,941.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199,777 : 6,515,451 = 6,515,451 : x
  2. Step 2: Convert to fraction form
    4,199,777/6,515,451 = 6,515,451/x
  3. Step 3: Cross multiply
    4,199,777x = 6,515,451 × 6,515,451
  4. Step 4: Simplify right side
    4,199,777x = 42,451,101,733,401
  5. Step 5: Solve for x
    x = 42,451,101,733,401/4,199,777
  6. Step 6: Final answer
    x = 10,107,941.86

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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.