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Finding the Third Proportional to 819,138,850 and 1,805,244,282

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Solution

The third proportional to 819,138,850 and 1,805,244,282 is: 3,978,454,834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,138,850 : 1,805,244,282 = 1,805,244,282 : x
  2. Step 2: Convert to fraction form
    819,138,850/1,805,244,282 = 1,805,244,282/x
  3. Step 3: Cross multiply
    819,138,850x = 1,805,244,282 × 1,805,244,282
  4. Step 4: Simplify right side
    819,138,850x = 3,258,906,917,693,695,488
  5. Step 5: Solve for x
    x = 3,258,906,917,693,695,488/819,138,850
  6. Step 6: Final answer
    x = 3,978,454,834.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.