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Finding the Third Proportional to 2,675,175,703 and 4,132,045,667

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Solution

The third proportional to 2,675,175,703 and 4,132,045,667 is: 6,382,310,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675,175,703 : 4,132,045,667 = 4,132,045,667 : x
  2. Step 2: Convert to fraction form
    2,675,175,703/4,132,045,667 = 4,132,045,667/x
  3. Step 3: Cross multiply
    2,675,175,703x = 4,132,045,667 × 4,132,045,667
  4. Step 4: Simplify right side
    2,675,175,703x = 17,073,801,394,173,474,816
  5. Step 5: Solve for x
    x = 17,073,801,394,173,474,816/2,675,175,703
  6. Step 6: Final answer
    x = 6,382,310,281.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.