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Finding the Third Proportional to 40,269,375 and 87,257,214

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Solution

The third proportional to 40,269,375 and 87,257,214 is: 189,072,251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,269,375 : 87,257,214 = 87,257,214 : x
  2. Step 2: Convert to fraction form
    40,269,375/87,257,214 = 87,257,214/x
  3. Step 3: Cross multiply
    40,269,375x = 87,257,214 × 87,257,214
  4. Step 4: Simplify right side
    40,269,375x = 7,613,821,395,041,796
  5. Step 5: Solve for x
    x = 7,613,821,395,041,796/40,269,375
  6. Step 6: Final answer
    x = 189,072,251.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.