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Finding the Third Proportional to 32,767,213,608 and 71,912,403,018

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Solution

The third proportional to 32,767,213,608 and 71,912,403,018 is: 157,822,199,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767,213,608 : 71,912,403,018 = 71,912,403,018 : x
  2. Step 2: Convert to fraction form
    32,767,213,608/71,912,403,018 = 71,912,403,018/x
  3. Step 3: Cross multiply
    32,767,213,608x = 71,912,403,018 × 71,912,403,018
  4. Step 4: Simplify right side
    32,767,213,608x = 5,171,393,707,823,255,781,376
  5. Step 5: Solve for x
    x = 5,171,393,707,823,255,781,376/32,767,213,608
  6. Step 6: Final answer
    x = 157,822,199,033.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.