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Finding the Third Proportional to 267,782,281,732 and 582,634,253,492

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Solution

The third proportional to 267,782,281,732 and 582,634,253,492 is: 1,267,681,607,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,782,281,732 : 582,634,253,492 = 582,634,253,492 : x
  2. Step 2: Convert to fraction form
    267,782,281,732/582,634,253,492 = 582,634,253,492/x
  3. Step 3: Cross multiply
    267,782,281,732x = 582,634,253,492 × 582,634,253,492
  4. Step 4: Simplify right side
    267,782,281,732x = 339,462,673,342,180,142,088,192
  5. Step 5: Solve for x
    x = 339,462,673,342,180,142,088,192/267,782,281,732
  6. Step 6: Final answer
    x = 1,267,681,607,410.90

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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.