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Finding the Third Proportional to 10,150,969,898 and 15,518,215,227

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Solution

The third proportional to 10,150,969,898 and 15,518,215,227 is: 23,723,349,221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150,969,898 : 15,518,215,227 = 15,518,215,227 : x
  2. Step 2: Convert to fraction form
    10,150,969,898/15,518,215,227 = 15,518,215,227/x
  3. Step 3: Cross multiply
    10,150,969,898x = 15,518,215,227 × 15,518,215,227
  4. Step 4: Simplify right side
    10,150,969,898x = 240,815,003,831,494,672,384
  5. Step 5: Solve for x
    x = 240,815,003,831,494,672,384/10,150,969,898
  6. Step 6: Final answer
    x = 23,723,349,221.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.