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Finding the Third Proportional to 57,027,942 and 117,079,107

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Solution

The third proportional to 57,027,942 and 117,079,107 is: 240,364,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,027,942 : 117,079,107 = 117,079,107 : x
  2. Step 2: Convert to fraction form
    57,027,942/117,079,107 = 117,079,107/x
  3. Step 3: Cross multiply
    57,027,942x = 117,079,107 × 117,079,107
  4. Step 4: Simplify right side
    57,027,942x = 13,707,517,295,917,448
  5. Step 5: Solve for x
    x = 13,707,517,295,917,448/57,027,942
  6. Step 6: Final answer
    x = 240,364,930.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.