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Finding the Third Proportional to 79,766,817,327 and 172,770,530,885

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Solution

The third proportional to 79,766,817,327 and 172,770,530,885 is: 374,211,449,604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,766,817,327 : 172,770,530,885 = 172,770,530,885 : x
  2. Step 2: Convert to fraction form
    79,766,817,327/172,770,530,885 = 172,770,530,885/x
  3. Step 3: Cross multiply
    79,766,817,327x = 172,770,530,885 × 172,770,530,885
  4. Step 4: Simplify right side
    79,766,817,327x = 29,849,656,342,284,739,805,184
  5. Step 5: Solve for x
    x = 29,849,656,342,284,739,805,184/79,766,817,327
  6. Step 6: Final answer
    x = 374,211,449,604.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.