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Finding the Third Proportional to 84,827,484,632 and 126,505,612,866

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Solution

The third proportional to 84,827,484,632 and 126,505,612,866 is: 188,661,377,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,827,484,632 : 126,505,612,866 = 126,505,612,866 : x
  2. Step 2: Convert to fraction form
    84,827,484,632/126,505,612,866 = 126,505,612,866/x
  3. Step 3: Cross multiply
    84,827,484,632x = 126,505,612,866 × 126,505,612,866
  4. Step 4: Simplify right side
    84,827,484,632x = 16,003,670,086,602,264,150,016
  5. Step 5: Solve for x
    x = 16,003,670,086,602,264,150,016/84,827,484,632
  6. Step 6: Final answer
    x = 188,661,377,335.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.