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Finding the Third Proportional to 33,212,836 and 71,884,406

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Solution

The third proportional to 33,212,836 and 71,884,406 is: 155,583,456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,212,836 : 71,884,406 = 71,884,406 : x
  2. Step 2: Convert to fraction form
    33,212,836/71,884,406 = 71,884,406/x
  3. Step 3: Cross multiply
    33,212,836x = 71,884,406 × 71,884,406
  4. Step 4: Simplify right side
    33,212,836x = 5,167,367,825,972,836
  5. Step 5: Solve for x
    x = 5,167,367,825,972,836/33,212,836
  6. Step 6: Final answer
    x = 155,583,456.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.