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Finding the Third Proportional to 3,512,478,198 and 6,936,123,336

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Solution

The third proportional to 3,512,478,198 and 6,936,123,336 is: 13,696,827,202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512,478,198 : 6,936,123,336 = 6,936,123,336 : x
  2. Step 2: Convert to fraction form
    3,512,478,198/6,936,123,336 = 6,936,123,336/x
  3. Step 3: Cross multiply
    3,512,478,198x = 6,936,123,336 × 6,936,123,336
  4. Step 4: Simplify right side
    3,512,478,198x = 48,109,806,932,203,765,760
  5. Step 5: Solve for x
    x = 48,109,806,932,203,765,760/3,512,478,198
  6. Step 6: Final answer
    x = 13,696,827,202.97

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.