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Finding the Third Proportional to 271,716,458 and 574,101,716

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Solution

The third proportional to 271,716,458 and 574,101,716 is: 1,213,002,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,716,458 : 574,101,716 = 574,101,716 : x
  2. Step 2: Convert to fraction form
    271,716,458/574,101,716 = 574,101,716/x
  3. Step 3: Cross multiply
    271,716,458x = 574,101,716 × 574,101,716
  4. Step 4: Simplify right side
    271,716,458x = 329,592,780,314,144,640
  5. Step 5: Solve for x
    x = 329,592,780,314,144,640/271,716,458
  6. Step 6: Final answer
    x = 1,213,002,637.90

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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.