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Finding the Third Proportional to 2,675,175,699 and 4,132,045,661

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Solution

The third proportional to 2,675,175,699 and 4,132,045,661 is: 6,382,310,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675,175,699 : 4,132,045,661 = 4,132,045,661 : x
  2. Step 2: Convert to fraction form
    2,675,175,699/4,132,045,661 = 4,132,045,661/x
  3. Step 3: Cross multiply
    2,675,175,699x = 4,132,045,661 × 4,132,045,661
  4. Step 4: Simplify right side
    2,675,175,699x = 17,073,801,344,588,926,976
  5. Step 5: Solve for x
    x = 17,073,801,344,588,926,976/2,675,175,699
  6. Step 6: Final answer
    x = 6,382,310,272.54

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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.