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Finding the Third Proportional to 32,522,968 and 64,223,408

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Solution

The third proportional to 32,522,968 and 64,223,408 is: 126,822,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,522,968 : 64,223,408 = 64,223,408 : x
  2. Step 2: Convert to fraction form
    32,522,968/64,223,408 = 64,223,408/x
  3. Step 3: Cross multiply
    32,522,968x = 64,223,408 × 64,223,408
  4. Step 4: Simplify right side
    32,522,968x = 4,124,646,135,134,464
  5. Step 5: Solve for x
    x = 4,124,646,135,134,464/32,522,968
  6. Step 6: Final answer
    x = 126,822,562.29

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.