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Finding the Third Proportional to 38,408,967 and 57,614,678

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Solution

The third proportional to 38,408,967 and 57,614,678 is: 86,423,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,408,967 : 57,614,678 = 57,614,678 : x
  2. Step 2: Convert to fraction form
    38,408,967/57,614,678 = 57,614,678/x
  3. Step 3: Cross multiply
    38,408,967x = 57,614,678 × 57,614,678
  4. Step 4: Simplify right side
    38,408,967x = 3,319,451,121,043,684
  5. Step 5: Solve for x
    x = 3,319,451,121,043,684/38,408,967
  6. Step 6: Final answer
    x = 86,423,858.29

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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.