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Finding the Third Proportional to 42,017,794 and 91,397,516

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Solution

The third proportional to 42,017,794 and 91,397,516 is: 198,808,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,017,794 : 91,397,516 = 91,397,516 : x
  2. Step 2: Convert to fraction form
    42,017,794/91,397,516 = 91,397,516/x
  3. Step 3: Cross multiply
    42,017,794x = 91,397,516 × 91,397,516
  4. Step 4: Simplify right side
    42,017,794x = 8,353,505,930,970,256
  5. Step 5: Solve for x
    x = 8,353,505,930,970,256/42,017,794
  6. Step 6: Final answer
    x = 198,808,769.71

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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.