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Finding the Third Proportional to 8,092,350,469,150 and 17,474,481,257,443

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Solution

The third proportional to 8,092,350,469,150 and 17,474,481,257,443 is: 37,734,091,767,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092,350,469,150 : 17,474,481,257,443 = 17,474,481,257,443 : x
  2. Step 2: Convert to fraction form
    8,092,350,469,150/17,474,481,257,443 = 17,474,481,257,443/x
  3. Step 3: Cross multiply
    8,092,350,469,150x = 17,474,481,257,443 × 17,474,481,257,443
  4. Step 4: Simplify right side
    8,092,350,469,150x = 305,357,495,216,726,674,241,486,848
  5. Step 5: Solve for x
    x = 305,357,495,216,726,674,241,486,848/8,092,350,469,150
  6. Step 6: Final answer
    x = 37,734,091,767,382.47

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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.