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Finding the Third Proportional to 57,027,933 and 117,079,085.25

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Solution

The third proportional to 57,027,933 and 117,079,085.25 is: 240,364,878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,027,933 : 117,079,085.25 = 117,079,085.25 : x
  2. Step 2: Convert to fraction form
    57,027,933/117,079,085.25 = 117,079,085.25/x
  3. Step 3: Cross multiply
    57,027,933x = 117,079,085.25 × 117,079,085.25
  4. Step 4: Simplify right side
    57,027,933x = 13,707,512,202,976,768
  5. Step 5: Solve for x
    x = 13,707,512,202,976,768/57,027,933
  6. Step 6: Final answer
    x = 240,364,878.79

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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.