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Finding the Third Proportional to 3,491,223,372 and 5,231,728,107

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Solution

The third proportional to 3,491,223,372 and 5,231,728,107 is: 7,839,939,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491,223,372 : 5,231,728,107 = 5,231,728,107 : x
  2. Step 2: Convert to fraction form
    3,491,223,372/5,231,728,107 = 5,231,728,107/x
  3. Step 3: Cross multiply
    3,491,223,372x = 5,231,728,107 × 5,231,728,107
  4. Step 4: Simplify right side
    3,491,223,372x = 27,370,978,985,573,801,984
  5. Step 5: Solve for x
    x = 27,370,978,985,573,801,984/3,491,223,372
  6. Step 6: Final answer
    x = 7,839,939,204.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.