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Finding the Third Proportional to 32,077,640.25 and 68,991,648.75

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Solution

The third proportional to 32,077,640.25 and 68,991,648.75 is: 148,385,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077,640.25 : 68,991,648.75 = 68,991,648.75 : x
  2. Step 2: Convert to fraction form
    32,077,640.25/68,991,648.75 = 68,991,648.75/x
  3. Step 3: Cross multiply
    32,077,640.25x = 68,991,648.75 × 68,991,648.75
  4. Step 4: Simplify right side
    32,077,640.25x = 4,759,847,597,243,377
  5. Step 5: Solve for x
    x = 4,759,847,597,243,377/32,077,640.25
  6. Step 6: Final answer
    x = 148,385,216.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.