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Finding the Third Proportional to 75,100,375,819 and 159,154,469,605

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Solution

The third proportional to 75,100,375,819 and 159,154,469,605 is: 337,283,867,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,100,375,819 : 159,154,469,605 = 159,154,469,605 : x
  2. Step 2: Convert to fraction form
    75,100,375,819/159,154,469,605 = 159,154,469,605/x
  3. Step 3: Cross multiply
    75,100,375,819x = 159,154,469,605 × 159,154,469,605
  4. Step 4: Simplify right side
    75,100,375,819x = 25,330,145,195,248,869,965,824
  5. Step 5: Solve for x
    x = 25,330,145,195,248,869,965,824/75,100,375,819
  6. Step 6: Final answer
    x = 337,283,867,344.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.