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Finding the Third Proportional to 10,672,117,227 and 23,181,400,962

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Solution

The third proportional to 10,672,117,227 and 23,181,400,962 is: 50,353,396,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672,117,227 : 23,181,400,962 = 23,181,400,962 : x
  2. Step 2: Convert to fraction form
    10,672,117,227/23,181,400,962 = 23,181,400,962/x
  3. Step 3: Cross multiply
    10,672,117,227x = 23,181,400,962 × 23,181,400,962
  4. Step 4: Simplify right side
    10,672,117,227x = 537,377,350,561,014,546,432
  5. Step 5: Solve for x
    x = 537,377,350,561,014,546,432/10,672,117,227
  6. Step 6: Final answer
    x = 50,353,396,531.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.