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Finding the Third Proportional to 32,954,400 and 71,767,296

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Solution

The third proportional to 32,954,400 and 71,767,296 is: 156,293,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954,400 : 71,767,296 = 71,767,296 : x
  2. Step 2: Convert to fraction form
    32,954,400/71,767,296 = 71,767,296/x
  3. Step 3: Cross multiply
    32,954,400x = 71,767,296 × 71,767,296
  4. Step 4: Simplify right side
    32,954,400x = 5,150,544,775,151,616
  5. Step 5: Solve for x
    x = 5,150,544,775,151,616/32,954,400
  6. Step 6: Final answer
    x = 156,293,083.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.