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Finding the Third Proportional to 12,613,120 and 27,667,900

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Solution

The third proportional to 12,613,120 and 27,667,900 is: 60,691,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613,120 : 27,667,900 = 27,667,900 : x
  2. Step 2: Convert to fraction form
    12,613,120/27,667,900 = 27,667,900/x
  3. Step 3: Cross multiply
    12,613,120x = 27,667,900 × 27,667,900
  4. Step 4: Simplify right side
    12,613,120x = 765,512,690,410,000
  5. Step 5: Solve for x
    x = 765,512,690,410,000/12,613,120
  6. Step 6: Final answer
    x = 60,691,778.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.