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Finding the Third Proportional to 9,691,920.56 and 20,666,772.56

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Solution

The third proportional to 9,691,920.56 and 20,666,772.56 is: 44,069,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,920.56 : 20,666,772.56 = 20,666,772.56 : x
  2. Step 2: Convert to fraction form
    9,691,920.56/20,666,772.56 = 20,666,772.56/x
  3. Step 3: Cross multiply
    9,691,920.56x = 20,666,772.56 × 20,666,772.56
  4. Step 4: Simplify right side
    9,691,920.56x = 427,115,488,150,102.81
  5. Step 5: Solve for x
    x = 427,115,488,150,102.81/9,691,920.56
  6. Step 6: Final answer
    x = 44,069,231.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.