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Finding the Third Proportional to 3,788,372,886,291 and 7,777,578,455,632

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Solution

The third proportional to 3,788,372,886,291 and 7,777,578,455,632 is: 15,967,469,002,961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788,372,886,291 : 7,777,578,455,632 = 7,777,578,455,632 : x
  2. Step 2: Convert to fraction form
    3,788,372,886,291/7,777,578,455,632 = 7,777,578,455,632/x
  3. Step 3: Cross multiply
    3,788,372,886,291x = 7,777,578,455,632 × 7,777,578,455,632
  4. Step 4: Simplify right side
    3,788,372,886,291x = 60,490,726,633,511,049,590,996,992
  5. Step 5: Solve for x
    x = 60,490,726,633,511,049,590,996,992/3,788,372,886,291
  6. Step 6: Final answer
    x = 15,967,469,002,961.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.