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Finding the Third Proportional to 251,451,712 and 378,113,344

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Solution

The third proportional to 251,451,712 and 378,113,344 is: 568,577,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,451,712 : 378,113,344 = 378,113,344 : x
  2. Step 2: Convert to fraction form
    251,451,712/378,113,344 = 378,113,344/x
  3. Step 3: Cross multiply
    251,451,712x = 378,113,344 × 378,113,344
  4. Step 4: Simplify right side
    251,451,712x = 142,969,700,910,862,336
  5. Step 5: Solve for x
    x = 142,969,700,910,862,336/251,451,712
  6. Step 6: Final answer
    x = 568,577,162.48

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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.