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Finding the Third Proportional to 32,954,016 and 71,766,480

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Solution

The third proportional to 32,954,016 and 71,766,480 is: 156,291,350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954,016 : 71,766,480 = 71,766,480 : x
  2. Step 2: Convert to fraction form
    32,954,016/71,766,480 = 71,766,480/x
  3. Step 3: Cross multiply
    32,954,016x = 71,766,480 × 71,766,480
  4. Step 4: Simplify right side
    32,954,016x = 5,150,427,651,590,400
  5. Step 5: Solve for x
    x = 5,150,427,651,590,400/32,954,016
  6. Step 6: Final answer
    x = 156,291,350.09

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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.