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Finding the Third Proportional to 3,863,122,100 and 8,368,022,348

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Solution

The third proportional to 3,863,122,100 and 8,368,022,348 is: 18,126,219,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863,122,100 : 8,368,022,348 = 8,368,022,348 : x
  2. Step 2: Convert to fraction form
    3,863,122,100/8,368,022,348 = 8,368,022,348/x
  3. Step 3: Cross multiply
    3,863,122,100x = 8,368,022,348 × 8,368,022,348
  4. Step 4: Simplify right side
    3,863,122,100x = 70,023,798,016,627,433,472
  5. Step 5: Solve for x
    x = 70,023,798,016,627,433,472/3,863,122,100
  6. Step 6: Final answer
    x = 18,126,219,209.23

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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.