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Finding the Third Proportional to 39,485,942 and 88,045,824

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Solution

The third proportional to 39,485,942 and 88,045,824 is: 196,324,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,485,942 : 88,045,824 = 88,045,824 : x
  2. Step 2: Convert to fraction form
    39,485,942/88,045,824 = 88,045,824/x
  3. Step 3: Cross multiply
    39,485,942x = 88,045,824 × 88,045,824
  4. Step 4: Simplify right side
    39,485,942x = 7,752,067,123,838,976
  5. Step 5: Solve for x
    x = 7,752,067,123,838,976/39,485,942
  6. Step 6: Final answer
    x = 196,324,735.62

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.