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Finding the Third Proportional to 14,656,120 and 31,324,892

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Solution

The third proportional to 14,656,120 and 31,324,892 is: 66,951,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656,120 : 31,324,892 = 31,324,892 : x
  2. Step 2: Convert to fraction form
    14,656,120/31,324,892 = 31,324,892/x
  3. Step 3: Cross multiply
    14,656,120x = 31,324,892 × 31,324,892
  4. Step 4: Simplify right side
    14,656,120x = 981,248,858,811,664
  5. Step 5: Solve for x
    x = 981,248,858,811,664/14,656,120
  6. Step 6: Final answer
    x = 66,951,475.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.