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Finding the Third Proportional to 8,105,082.75 and 12,324,727.13

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Solution

The third proportional to 8,105,082.75 and 12,324,727.13 is: 18,741,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105,082.75 : 12,324,727.13 = 12,324,727.13 : x
  2. Step 2: Convert to fraction form
    8,105,082.75/12,324,727.13 = 12,324,727.13/x
  3. Step 3: Cross multiply
    8,105,082.75x = 12,324,727.13 × 12,324,727.13
  4. Step 4: Simplify right side
    8,105,082.75x = 151,898,898,705,710.75
  5. Step 5: Solve for x
    x = 151,898,898,705,710.75/8,105,082.75
  6. Step 6: Final answer
    x = 18,741,190.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.