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Finding the Third Proportional to 815,149,344 and 1,722,305,088

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Solution

The third proportional to 815,149,344 and 1,722,305,088 is: 3,639,007,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,149,344 : 1,722,305,088 = 1,722,305,088 : x
  2. Step 2: Convert to fraction form
    815,149,344/1,722,305,088 = 1,722,305,088/x
  3. Step 3: Cross multiply
    815,149,344x = 1,722,305,088 × 1,722,305,088
  4. Step 4: Simplify right side
    815,149,344x = 2,966,334,816,150,687,744
  5. Step 5: Solve for x
    x = 2,966,334,816,150,687,744/815,149,344
  6. Step 6: Final answer
    x = 3,639,007,794.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.