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Finding the Third Proportional to 824,486,703.19 and 1,797,120,781.31

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Solution

The third proportional to 824,486,703.19 and 1,797,120,781.31 is: 3,917,156,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,486,703.19 : 1,797,120,781.31 = 1,797,120,781.31 : x
  2. Step 2: Convert to fraction form
    824,486,703.19/1,797,120,781.31 = 1,797,120,781.31/x
  3. Step 3: Cross multiply
    824,486,703.19x = 1,797,120,781.31 × 1,797,120,781.31
  4. Step 4: Simplify right side
    824,486,703.19x = 3,229,643,102,625,250,304
  5. Step 5: Solve for x
    x = 3,229,643,102,625,250,304/824,486,703.19
  6. Step 6: Final answer
    x = 3,917,156,080.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.