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Finding the Third Proportional to 67,789,512 and 148,254,876

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Solution

The third proportional to 67,789,512 and 148,254,876 is: 324,231,693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,789,512 : 148,254,876 = 148,254,876 : x
  2. Step 2: Convert to fraction form
    67,789,512/148,254,876 = 148,254,876/x
  3. Step 3: Cross multiply
    67,789,512x = 148,254,876 × 148,254,876
  4. Step 4: Simplify right side
    67,789,512x = 21,979,508,257,775,376
  5. Step 5: Solve for x
    x = 21,979,508,257,775,376/67,789,512
  6. Step 6: Final answer
    x = 324,231,693.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.