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Finding the Third Proportional to 3,747,517,957 and 5,821,418,946

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Solution

The third proportional to 3,747,517,957 and 5,821,418,946 is: 9,043,030,329.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747,517,957 : 5,821,418,946 = 5,821,418,946 : x
  2. Step 2: Convert to fraction form
    3,747,517,957/5,821,418,946 = 5,821,418,946/x
  3. Step 3: Cross multiply
    3,747,517,957x = 5,821,418,946 × 5,821,418,946
  4. Step 4: Simplify right side
    3,747,517,957x = 33,888,918,544,847,749,120
  5. Step 5: Solve for x
    x = 33,888,918,544,847,749,120/3,747,517,957
  6. Step 6: Final answer
    x = 9,043,030,329.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.