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Finding the Third Proportional to 33,004,006 and 71,687,694

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Solution

The third proportional to 33,004,006 and 71,687,694 is: 155,712,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,004,006 : 71,687,694 = 71,687,694 : x
  2. Step 2: Convert to fraction form
    33,004,006/71,687,694 = 71,687,694/x
  3. Step 3: Cross multiply
    33,004,006x = 71,687,694 × 71,687,694
  4. Step 4: Simplify right side
    33,004,006x = 5,139,125,471,037,636
  5. Step 5: Solve for x
    x = 5,139,125,471,037,636/33,004,006
  6. Step 6: Final answer
    x = 155,712,172.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.