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Finding the Third Proportional to 809,431,765,917.76 and 1,799,840,921,985

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Solution

The third proportional to 809,431,765,917.76 and 1,799,840,921,985 is: 4,002,100,585,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,431,765,917.76 : 1,799,840,921,985 = 1,799,840,921,985 : x
  2. Step 2: Convert to fraction form
    809,431,765,917.76/1,799,840,921,985 = 1,799,840,921,985/x
  3. Step 3: Cross multiply
    809,431,765,917.76x = 1,799,840,921,985 × 1,799,840,921,985
  4. Step 4: Simplify right side
    809,431,765,917.76x = 3,239,427,344,451,815,109,296,128
  5. Step 5: Solve for x
    x = 3,239,427,344,451,815,109,296,128/809,431,765,917.76
  6. Step 6: Final answer
    x = 4,002,100,585,685.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.