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Finding the Third Proportional to 34,115,649 and 80,535,474

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Solution

The third proportional to 34,115,649 and 80,535,474 is: 190,116,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,115,649 : 80,535,474 = 80,535,474 : x
  2. Step 2: Convert to fraction form
    34,115,649/80,535,474 = 80,535,474/x
  3. Step 3: Cross multiply
    34,115,649x = 80,535,474 × 80,535,474
  4. Step 4: Simplify right side
    34,115,649x = 6,485,962,572,404,676
  5. Step 5: Solve for x
    x = 6,485,962,572,404,676/34,115,649
  6. Step 6: Final answer
    x = 190,116,933.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.