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Finding the Third Proportional to 271,216,746 and 588,668,919

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Solution

The third proportional to 271,216,746 and 588,668,919 is: 1,277,690,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,216,746 : 588,668,919 = 588,668,919 : x
  2. Step 2: Convert to fraction form
    271,216,746/588,668,919 = 588,668,919/x
  3. Step 3: Cross multiply
    271,216,746x = 588,668,919 × 588,668,919
  4. Step 4: Simplify right side
    271,216,746x = 346,531,096,196,628,544
  5. Step 5: Solve for x
    x = 346,531,096,196,628,544/271,216,746
  6. Step 6: Final answer
    x = 1,277,690,634.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.