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Finding the Third Proportional to 3,863,122,094 and 8,368,022,339

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Solution

The third proportional to 3,863,122,094 and 8,368,022,339 is: 18,126,219,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863,122,094 : 8,368,022,339 = 8,368,022,339 : x
  2. Step 2: Convert to fraction form
    3,863,122,094/8,368,022,339 = 8,368,022,339/x
  3. Step 3: Cross multiply
    3,863,122,094x = 8,368,022,339 × 8,368,022,339
  4. Step 4: Simplify right side
    3,863,122,094x = 70,023,797,866,003,030,016
  5. Step 5: Solve for x
    x = 70,023,797,866,003,030,016/3,863,122,094
  6. Step 6: Final answer
    x = 18,126,219,198.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.