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Finding the Third Proportional to 12,278,101.50 and 20,462,265.56

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Solution

The third proportional to 12,278,101.50 and 20,462,265.56 is: 34,101,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278,101.50 : 20,462,265.56 = 20,462,265.56 : x
  2. Step 2: Convert to fraction form
    12,278,101.50/20,462,265.56 = 20,462,265.56/x
  3. Step 3: Cross multiply
    12,278,101.50x = 20,462,265.56 × 20,462,265.56
  4. Step 4: Simplify right side
    12,278,101.50x = 418,704,311,950,273.44
  5. Step 5: Solve for x
    x = 418,704,311,950,273.44/12,278,101.50
  6. Step 6: Final answer
    x = 34,101,714.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.