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Finding the Third Proportional to 67,268,736 and 102,582,720

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Solution

The third proportional to 67,268,736 and 102,582,720 is: 156,435,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,268,736 : 102,582,720 = 102,582,720 : x
  2. Step 2: Convert to fraction form
    67,268,736/102,582,720 = 102,582,720/x
  3. Step 3: Cross multiply
    67,268,736x = 102,582,720 × 102,582,720
  4. Step 4: Simplify right side
    67,268,736x = 10,523,214,442,598,400
  5. Step 5: Solve for x
    x = 10,523,214,442,598,400/67,268,736
  6. Step 6: Final answer
    x = 156,435,441.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.