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Finding the Third Proportional to 20,699,881,184 and 33,797,463,600

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Solution

The third proportional to 20,699,881,184 and 33,797,463,600 is: 55,182,372,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,699,881,184 : 33,797,463,600 = 33,797,463,600 : x
  2. Step 2: Convert to fraction form
    20,699,881,184/33,797,463,600 = 33,797,463,600/x
  3. Step 3: Cross multiply
    20,699,881,184x = 33,797,463,600 × 33,797,463,600
  4. Step 4: Simplify right side
    20,699,881,184x = 1,142,268,545,793,325,006,848
  5. Step 5: Solve for x
    x = 1,142,268,545,793,325,006,848/20,699,881,184
  6. Step 6: Final answer
    x = 55,182,372,093.82

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.