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Finding the Third Proportional to 267,782,281,722 and 582,634,253,475

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Solution

The third proportional to 267,782,281,722 and 582,634,253,475 is: 1,267,681,607,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,782,281,722 : 582,634,253,475 = 582,634,253,475 : x
  2. Step 2: Convert to fraction form
    267,782,281,722/582,634,253,475 = 582,634,253,475/x
  3. Step 3: Cross multiply
    267,782,281,722x = 582,634,253,475 × 582,634,253,475
  4. Step 4: Simplify right side
    267,782,281,722x = 339,462,673,322,370,544,959,488
  5. Step 5: Solve for x
    x = 339,462,673,322,370,544,959,488/267,782,281,722
  6. Step 6: Final answer
    x = 1,267,681,607,384.26

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