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Finding the Third Proportional to 535,086,375.75 and 1,175,398,049.25

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Solution

The third proportional to 535,086,375.75 and 1,175,398,049.25 is: 2,581,939,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,086,375.75 : 1,175,398,049.25 = 1,175,398,049.25 : x
  2. Step 2: Convert to fraction form
    535,086,375.75/1,175,398,049.25 = 1,175,398,049.25/x
  3. Step 3: Cross multiply
    535,086,375.75x = 1,175,398,049.25 × 1,175,398,049.25
  4. Step 4: Simplify right side
    535,086,375.75x = 1,381,560,574,180,705,536
  5. Step 5: Solve for x
    x = 1,381,560,574,180,705,536/535,086,375.75
  6. Step 6: Final answer
    x = 2,581,939,359.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.