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Finding the Third Proportional to 251,451,720 and 378,113,356

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Solution

The third proportional to 251,451,720 and 378,113,356 is: 568,577,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,451,720 : 378,113,356 = 378,113,356 : x
  2. Step 2: Convert to fraction form
    251,451,720/378,113,356 = 378,113,356/x
  3. Step 3: Cross multiply
    251,451,720x = 378,113,356 × 378,113,356
  4. Step 4: Simplify right side
    251,451,720x = 142,969,709,985,582,736
  5. Step 5: Solve for x
    x = 142,969,709,985,582,736/251,451,720
  6. Step 6: Final answer
    x = 568,577,180.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.