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Finding the Third Proportional to 71,523,814 and 154,481,810

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Solution

The third proportional to 71,523,814 and 154,481,810 is: 333,659,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,523,814 : 154,481,810 = 154,481,810 : x
  2. Step 2: Convert to fraction form
    71,523,814/154,481,810 = 154,481,810/x
  3. Step 3: Cross multiply
    71,523,814x = 154,481,810 × 154,481,810
  4. Step 4: Simplify right side
    71,523,814x = 23,864,629,620,876,100
  5. Step 5: Solve for x
    x = 23,864,629,620,876,100/71,523,814
  6. Step 6: Final answer
    x = 333,659,913.90

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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.