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Finding the Third Proportional to 17,777,696 and 25,171,824

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Solution

The third proportional to 17,777,696 and 25,171,824 is: 35,641,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777,696 : 25,171,824 = 25,171,824 : x
  2. Step 2: Convert to fraction form
    17,777,696/25,171,824 = 25,171,824/x
  3. Step 3: Cross multiply
    17,777,696x = 25,171,824 × 25,171,824
  4. Step 4: Simplify right side
    17,777,696x = 633,620,723,486,976
  5. Step 5: Solve for x
    x = 633,620,723,486,976/17,777,696
  6. Step 6: Final answer
    x = 35,641,329.65

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.