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Finding the Third Proportional to 274,514,454 and 418,204,059.75

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Solution

The third proportional to 274,514,454 and 418,204,059.75 is: 637,105,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,514,454 : 418,204,059.75 = 418,204,059.75 : x
  2. Step 2: Convert to fraction form
    274,514,454/418,204,059.75 = 418,204,059.75/x
  3. Step 3: Cross multiply
    274,514,454x = 418,204,059.75 × 418,204,059.75
  4. Step 4: Simplify right side
    274,514,454x = 174,894,635,591,381,568
  5. Step 5: Solve for x
    x = 174,894,635,591,381,568/274,514,454
  6. Step 6: Final answer
    x = 637,105,380.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.