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Finding the Third Proportional to 5,101,834.50 and 7,800,990.75

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Solution

The third proportional to 5,101,834.50 and 7,800,990.75 is: 11,928,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101,834.50 : 7,800,990.75 = 7,800,990.75 : x
  2. Step 2: Convert to fraction form
    5,101,834.50/7,800,990.75 = 7,800,990.75/x
  3. Step 3: Cross multiply
    5,101,834.50x = 7,800,990.75 × 7,800,990.75
  4. Step 4: Simplify right side
    5,101,834.50x = 60,855,456,681,585.56
  5. Step 5: Solve for x
    x = 60,855,456,681,585.56/5,101,834.50
  6. Step 6: Final answer
    x = 11,928,151.86

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.