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Finding the Third Proportional to 20,418,804 and 31,632,099.75

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Solution

The third proportional to 20,418,804 and 31,632,099.75 is: 49,003,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,418,804 : 31,632,099.75 = 31,632,099.75 : x
  2. Step 2: Convert to fraction form
    20,418,804/31,632,099.75 = 31,632,099.75/x
  3. Step 3: Cross multiply
    20,418,804x = 31,632,099.75 × 31,632,099.75
  4. Step 4: Simplify right side
    20,418,804x = 1,000,589,734,593,950
  5. Step 5: Solve for x
    x = 1,000,589,734,593,950/20,418,804
  6. Step 6: Final answer
    x = 49,003,346.85

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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.