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Finding the Third Proportional to 11,561,969,880 and 18,397,366,979

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Solution

The third proportional to 11,561,969,880 and 18,397,366,979 is: 29,273,827,494.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561,969,880 : 18,397,366,979 = 18,397,366,979 : x
  2. Step 2: Convert to fraction form
    11,561,969,880/18,397,366,979 = 18,397,366,979/x
  3. Step 3: Cross multiply
    11,561,969,880x = 18,397,366,979 × 18,397,366,979
  4. Step 4: Simplify right side
    11,561,969,880x = 338,463,111,759,999,598,592
  5. Step 5: Solve for x
    x = 338,463,111,759,999,598,592/11,561,969,880
  6. Step 6: Final answer
    x = 29,273,827,494.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.