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Finding the Third Proportional to 7,857,650 and 11,738,082.75

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Solution

The third proportional to 7,857,650 and 11,738,082.75 is: 17,534,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857,650 : 11,738,082.75 = 11,738,082.75 : x
  2. Step 2: Convert to fraction form
    7,857,650/11,738,082.75 = 11,738,082.75/x
  3. Step 3: Cross multiply
    7,857,650x = 11,738,082.75 × 11,738,082.75
  4. Step 4: Simplify right side
    7,857,650x = 137,782,586,645,847.56
  5. Step 5: Solve for x
    x = 137,782,586,645,847.56/7,857,650
  6. Step 6: Final answer
    x = 17,534,833.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.