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Finding the Third Proportional to 33,243,793,400,082 and 71,490,663,394,212

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Solution

The third proportional to 33,243,793,400,082 and 71,490,663,394,212 is: 153,740,425,800,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,243,793,400,082 : 71,490,663,394,212 = 71,490,663,394,212 : x
  2. Step 2: Convert to fraction form
    33,243,793,400,082/71,490,663,394,212 = 71,490,663,394,212/x
  3. Step 3: Cross multiply
    33,243,793,400,082x = 71,490,663,394,212 × 71,490,663,394,212
  4. Step 4: Simplify right side
    33,243,793,400,082x = 5,110,914,952,544,523,413,991,981,056
  5. Step 5: Solve for x
    x = 5,110,914,952,544,523,413,991,981,056/33,243,793,400,082
  6. Step 6: Final answer
    x = 153,740,425,800,261.31

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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.