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Finding the Third Proportional to 33,212,830 and 71,884,394

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Solution

The third proportional to 33,212,830 and 71,884,394 is: 155,583,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,212,830 : 71,884,394 = 71,884,394 : x
  2. Step 2: Convert to fraction form
    33,212,830/71,884,394 = 71,884,394/x
  3. Step 3: Cross multiply
    33,212,830x = 71,884,394 × 71,884,394
  4. Step 4: Simplify right side
    33,212,830x = 5,167,366,100,747,236
  5. Step 5: Solve for x
    x = 5,167,366,100,747,236/33,212,830
  6. Step 6: Final answer
    x = 155,583,432.69

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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.