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Finding the Third Proportional to 11,561,969,887 and 18,397,366,989

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Solution

The third proportional to 11,561,969,887 and 18,397,366,989 is: 29,273,827,508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561,969,887 : 18,397,366,989 = 18,397,366,989 : x
  2. Step 2: Convert to fraction form
    11,561,969,887/18,397,366,989 = 18,397,366,989/x
  3. Step 3: Cross multiply
    11,561,969,887x = 18,397,366,989 × 18,397,366,989
  4. Step 4: Simplify right side
    11,561,969,887x = 338,463,112,127,946,948,608
  5. Step 5: Solve for x
    x = 338,463,112,127,946,948,608/11,561,969,887
  6. Step 6: Final answer
    x = 29,273,827,508.28

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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.