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Finding the Third Proportional to 809,431,765,544 and 1,799,840,921,276

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Solution

The third proportional to 809,431,765,544 and 1,799,840,921,276 is: 4,002,100,584,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,431,765,544 : 1,799,840,921,276 = 1,799,840,921,276 : x
  2. Step 2: Convert to fraction form
    809,431,765,544/1,799,840,921,276 = 1,799,840,921,276/x
  3. Step 3: Cross multiply
    809,431,765,544x = 1,799,840,921,276 × 1,799,840,921,276
  4. Step 4: Simplify right side
    809,431,765,544x = 3,239,427,341,899,640,315,314,176
  5. Step 5: Solve for x
    x = 3,239,427,341,899,640,315,314,176/809,431,765,544
  6. Step 6: Final answer
    x = 4,002,100,584,380.33

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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.