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Finding the Third Proportional to 54,471,661 and 116,714,408

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Solution

The third proportional to 54,471,661 and 116,714,408 is: 250,079,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,471,661 : 116,714,408 = 116,714,408 : x
  2. Step 2: Convert to fraction form
    54,471,661/116,714,408 = 116,714,408/x
  3. Step 3: Cross multiply
    54,471,661x = 116,714,408 × 116,714,408
  4. Step 4: Simplify right side
    54,471,661x = 13,622,253,034,790,464
  5. Step 5: Solve for x
    x = 13,622,253,034,790,464/54,471,661
  6. Step 6: Final answer
    x = 250,079,633.79

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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.