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Finding the Third Proportional to 271,716,456 and 574,101,712

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Solution

The third proportional to 271,716,456 and 574,101,712 is: 1,213,002,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,716,456 : 574,101,712 = 574,101,712 : x
  2. Step 2: Convert to fraction form
    271,716,456/574,101,712 = 574,101,712/x
  3. Step 3: Cross multiply
    271,716,456x = 574,101,712 × 574,101,712
  4. Step 4: Simplify right side
    271,716,456x = 329,592,775,721,330,944
  5. Step 5: Solve for x
    x = 329,592,775,721,330,944/271,716,456
  6. Step 6: Final answer
    x = 1,213,002,629.92

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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.