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Finding the Third Proportional to 37,399,267,579,640 and 80,426,996,327,556

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Solution

The third proportional to 37,399,267,579,640 and 80,426,996,327,556 is: 172,957,979,043,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,399,267,579,640 : 80,426,996,327,556 = 80,426,996,327,556 : x
  2. Step 2: Convert to fraction form
    37,399,267,579,640/80,426,996,327,556 = 80,426,996,327,556/x
  3. Step 3: Cross multiply
    37,399,267,579,640x = 80,426,996,327,556 × 80,426,996,327,556
  4. Step 4: Simplify right side
    37,399,267,579,640x = 6,468,501,738,272,706,384,340,451,328
  5. Step 5: Solve for x
    x = 6,468,501,738,272,706,384,340,451,328/37,399,267,579,640
  6. Step 6: Final answer
    x = 172,957,979,043,261.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.