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Finding the Third Proportional to 67,470,736 and 103,661,327

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Solution

The third proportional to 67,470,736 and 103,661,327 is: 159,264,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,470,736 : 103,661,327 = 103,661,327 : x
  2. Step 2: Convert to fraction form
    67,470,736/103,661,327 = 103,661,327/x
  3. Step 3: Cross multiply
    67,470,736x = 103,661,327 × 103,661,327
  4. Step 4: Simplify right side
    67,470,736x = 10,745,670,715,400,928
  5. Step 5: Solve for x
    x = 10,745,670,715,400,928/67,470,736
  6. Step 6: Final answer
    x = 159,264,169.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.