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Finding the Third Proportional to 331,752,098.25 and 718,707,633.75

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Solution

The third proportional to 331,752,098.25 and 718,707,633.75 is: 1,557,007,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,752,098.25 : 718,707,633.75 = 718,707,633.75 : x
  2. Step 2: Convert to fraction form
    331,752,098.25/718,707,633.75 = 718,707,633.75/x
  3. Step 3: Cross multiply
    331,752,098.25x = 718,707,633.75 × 718,707,633.75
  4. Step 4: Simplify right side
    331,752,098.25x = 516,540,662,810,524,160
  5. Step 5: Solve for x
    x = 516,540,662,810,524,160/331,752,098.25
  6. Step 6: Final answer
    x = 1,557,007,975.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.