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Finding the Third Proportional to 271,214,854 and 588,665,071

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Solution

The third proportional to 271,214,854 and 588,665,071 is: 1,277,682,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,214,854 : 588,665,071 = 588,665,071 : x
  2. Step 2: Convert to fraction form
    271,214,854/588,665,071 = 588,665,071/x
  3. Step 3: Cross multiply
    271,214,854x = 588,665,071 × 588,665,071
  4. Step 4: Simplify right side
    271,214,854x = 346,526,565,815,435,072
  5. Step 5: Solve for x
    x = 346,526,565,815,435,072/271,214,854
  6. Step 6: Final answer
    x = 1,277,682,843.34

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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.