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Finding the Third Proportional to 12,278,076.75 and 20,462,229.75

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Solution

The third proportional to 12,278,076.75 and 20,462,229.75 is: 34,101,663.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278,076.75 : 20,462,229.75 = 20,462,229.75 : x
  2. Step 2: Convert to fraction form
    12,278,076.75/20,462,229.75 = 20,462,229.75/x
  3. Step 3: Cross multiply
    12,278,076.75x = 20,462,229.75 × 20,462,229.75
  4. Step 4: Simplify right side
    12,278,076.75x = 418,702,846,341,785.06
  5. Step 5: Solve for x
    x = 418,702,846,341,785.06/12,278,076.75
  6. Step 6: Final answer
    x = 34,101,663.87

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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.