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Finding the Third Proportional to 271,716,460 and 574,101,720

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Solution

The third proportional to 271,716,460 and 574,101,720 is: 1,213,002,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,716,460 : 574,101,720 = 574,101,720 : x
  2. Step 2: Convert to fraction form
    271,716,460/574,101,720 = 574,101,720/x
  3. Step 3: Cross multiply
    271,716,460x = 574,101,720 × 574,101,720
  4. Step 4: Simplify right side
    271,716,460x = 329,592,784,906,958,400
  5. Step 5: Solve for x
    x = 329,592,784,906,958,400/271,716,460
  6. Step 6: Final answer
    x = 1,213,002,645.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.