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Finding the Third Proportional to 363,138,924 and 752,116,980

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Solution

The third proportional to 363,138,924 and 752,116,980 is: 1,557,750,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,138,924 : 752,116,980 = 752,116,980 : x
  2. Step 2: Convert to fraction form
    363,138,924/752,116,980 = 752,116,980/x
  3. Step 3: Cross multiply
    363,138,924x = 752,116,980 × 752,116,980
  4. Step 4: Simplify right side
    363,138,924x = 565,679,951,604,320,384
  5. Step 5: Solve for x
    x = 565,679,951,604,320,384/363,138,924
  6. Step 6: Final answer
    x = 1,557,750,806.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.