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Finding the Third Proportional to 12,341,478,912 and 18,800,967,980

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Solution

The third proportional to 12,341,478,912 and 18,800,967,980 is: 28,641,332,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341,478,912 : 18,800,967,980 = 18,800,967,980 : x
  2. Step 2: Convert to fraction form
    12,341,478,912/18,800,967,980 = 18,800,967,980/x
  3. Step 3: Cross multiply
    12,341,478,912x = 18,800,967,980 × 18,800,967,980
  4. Step 4: Simplify right side
    12,341,478,912x = 353,476,396,984,985,255,936
  5. Step 5: Solve for x
    x = 353,476,396,984,985,255,936/12,341,478,912
  6. Step 6: Final answer
    x = 28,641,332,169.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.