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Finding the Third Proportional to 7,644,162,805,993.80 and 16,768,274,906,692

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Solution

The third proportional to 7,644,162,805,993.80 and 16,768,274,906,692 is: 36,782,974,209,540.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644,162,805,993.80 : 16,768,274,906,692 = 16,768,274,906,692 : x
  2. Step 2: Convert to fraction form
    7,644,162,805,993.80/16,768,274,906,692 = 16,768,274,906,692/x
  3. Step 3: Cross multiply
    7,644,162,805,993.80x = 16,768,274,906,692 × 16,768,274,906,692
  4. Step 4: Simplify right side
    7,644,162,805,993.80x = 281,175,043,346,396,611,331,751,936
  5. Step 5: Solve for x
    x = 281,175,043,346,396,611,331,751,936/7,644,162,805,993.80
  6. Step 6: Final answer
    x = 36,782,974,209,540.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.