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Finding the Third Proportional to 33,382,638 and 71,174,748

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Solution

The third proportional to 33,382,638 and 71,174,748 is: 151,750,881.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,382,638 : 71,174,748 = 71,174,748 : x
  2. Step 2: Convert to fraction form
    33,382,638/71,174,748 = 71,174,748/x
  3. Step 3: Cross multiply
    33,382,638x = 71,174,748 × 71,174,748
  4. Step 4: Simplify right side
    33,382,638x = 5,065,844,752,863,504
  5. Step 5: Solve for x
    x = 5,065,844,752,863,504/33,382,638
  6. Step 6: Final answer
    x = 151,750,881.79

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.