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Finding the Third Proportional to 271,716,462 and 574,101,724

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Solution

The third proportional to 271,716,462 and 574,101,724 is: 1,213,002,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,716,462 : 574,101,724 = 574,101,724 : x
  2. Step 2: Convert to fraction form
    271,716,462/574,101,724 = 574,101,724/x
  3. Step 3: Cross multiply
    271,716,462x = 574,101,724 × 574,101,724
  4. Step 4: Simplify right side
    271,716,462x = 329,592,789,499,772,160
  5. Step 5: Solve for x
    x = 329,592,789,499,772,160/271,716,462
  6. Step 6: Final answer
    x = 1,213,002,653.85

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