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Finding the Third Proportional to 13,327,380,992,036 and 27,029,497,589,008

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Solution

The third proportional to 13,327,380,992,036 and 27,029,497,589,008 is: 54,819,003,099,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,327,380,992,036 : 27,029,497,589,008 = 27,029,497,589,008 : x
  2. Step 2: Convert to fraction form
    13,327,380,992,036/27,029,497,589,008 = 27,029,497,589,008/x
  3. Step 3: Cross multiply
    13,327,380,992,036x = 27,029,497,589,008 × 27,029,497,589,008
  4. Step 4: Simplify right side
    13,327,380,992,036x = 730,593,739,914,189,277,916,823,552
  5. Step 5: Solve for x
    x = 730,593,739,914,189,277,916,823,552/13,327,380,992,036
  6. Step 6: Final answer
    x = 54,819,003,099,766.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.