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Finding the Third Proportional to 811,198,470 and 1,751,710,092

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Solution

The third proportional to 811,198,470 and 1,751,710,092 is: 3,782,660,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,198,470 : 1,751,710,092 = 1,751,710,092 : x
  2. Step 2: Convert to fraction form
    811,198,470/1,751,710,092 = 1,751,710,092/x
  3. Step 3: Cross multiply
    811,198,470x = 1,751,710,092 × 1,751,710,092
  4. Step 4: Simplify right side
    811,198,470x = 3,068,488,246,414,648,320
  5. Step 5: Solve for x
    x = 3,068,488,246,414,648,320/811,198,470
  6. Step 6: Final answer
    x = 3,782,660,298.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.