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Finding the Third Proportional to 71,523,815 and 154,481,812

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Solution

The third proportional to 71,523,815 and 154,481,812 is: 333,659,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,523,815 : 154,481,812 = 154,481,812 : x
  2. Step 2: Convert to fraction form
    71,523,815/154,481,812 = 154,481,812/x
  3. Step 3: Cross multiply
    71,523,815x = 154,481,812 × 154,481,812
  4. Step 4: Simplify right side
    71,523,815x = 23,864,630,238,803,344
  5. Step 5: Solve for x
    x = 23,864,630,238,803,344/71,523,815
  6. Step 6: Final answer
    x = 333,659,917.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.