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Finding the Third Proportional to 819,815,876 and 1,770,265,629

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Solution

The third proportional to 819,815,876 and 1,770,265,629 is: 3,822,614,917.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,815,876 : 1,770,265,629 = 1,770,265,629 : x
  2. Step 2: Convert to fraction form
    819,815,876/1,770,265,629 = 1,770,265,629/x
  3. Step 3: Cross multiply
    819,815,876x = 1,770,265,629 × 1,770,265,629
  4. Step 4: Simplify right side
    819,815,876x = 3,133,840,397,218,765,824
  5. Step 5: Solve for x
    x = 3,133,840,397,218,765,824/819,815,876
  6. Step 6: Final answer
    x = 3,822,614,917.52

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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.