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Finding the Third Proportional to 27,824,630 and 38,448,375

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Solution

The third proportional to 27,824,630 and 38,448,375 is: 53,128,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824,630 : 38,448,375 = 38,448,375 : x
  2. Step 2: Convert to fraction form
    27,824,630/38,448,375 = 38,448,375/x
  3. Step 3: Cross multiply
    27,824,630x = 38,448,375 × 38,448,375
  4. Step 4: Simplify right side
    27,824,630x = 1,478,277,540,140,625
  5. Step 5: Solve for x
    x = 1,478,277,540,140,625/27,824,630
  6. Step 6: Final answer
    x = 53,128,380.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.