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Finding the Third Proportional to 54,134,413 and 127,751,718

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Solution

The third proportional to 54,134,413 and 127,751,718 is: 301,481,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,134,413 : 127,751,718 = 127,751,718 : x
  2. Step 2: Convert to fraction form
    54,134,413/127,751,718 = 127,751,718/x
  3. Step 3: Cross multiply
    54,134,413x = 127,751,718 × 127,751,718
  4. Step 4: Simplify right side
    54,134,413x = 16,320,501,451,951,524
  5. Step 5: Solve for x
    x = 16,320,501,451,951,524/54,134,413
  6. Step 6: Final answer
    x = 301,481,082.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.