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Finding the Third Proportional to 271,216,761 and 588,668,952

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Solution

The third proportional to 271,216,761 and 588,668,952 is: 1,277,690,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,216,761 : 588,668,952 = 588,668,952 : x
  2. Step 2: Convert to fraction form
    271,216,761/588,668,952 = 588,668,952/x
  3. Step 3: Cross multiply
    271,216,761x = 588,668,952 × 588,668,952
  4. Step 4: Simplify right side
    271,216,761x = 346,531,135,048,778,304
  5. Step 5: Solve for x
    x = 346,531,135,048,778,304/271,216,761
  6. Step 6: Final answer
    x = 1,277,690,706.77

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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.