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Finding the Third Proportional to 267,782,281,724 and 582,634,253,479

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Solution

The third proportional to 267,782,281,724 and 582,634,253,479 is: 1,267,681,607,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,782,281,724 : 582,634,253,479 = 582,634,253,479 : x
  2. Step 2: Convert to fraction form
    267,782,281,724/582,634,253,479 = 582,634,253,479/x
  3. Step 3: Cross multiply
    267,782,281,724x = 582,634,253,479 × 582,634,253,479
  4. Step 4: Simplify right side
    267,782,281,724x = 339,462,673,327,031,591,108,608
  5. Step 5: Solve for x
    x = 339,462,673,327,031,591,108,608/267,782,281,724
  6. Step 6: Final answer
    x = 1,267,681,607,392.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.