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Finding the Third Proportional to 251,451,719,424 and 377,085,219,264

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Solution

The third proportional to 251,451,719,424 and 377,085,219,264 is: 565,489,323,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,451,719,424 : 377,085,219,264 = 377,085,219,264 : x
  2. Step 2: Convert to fraction form
    251,451,719,424/377,085,219,264 = 377,085,219,264/x
  3. Step 3: Cross multiply
    251,451,719,424x = 377,085,219,264 × 377,085,219,264
  4. Step 4: Simplify right side
    251,451,719,424x = 142,193,262,587,378,950,733,824
  5. Step 5: Solve for x
    x = 142,193,262,587,378,950,733,824/251,451,719,424
  6. Step 6: Final answer
    x = 565,489,323,012.39

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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.