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Finding the Third Proportional to 227,144,263,539 and 490,555,718,214

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Solution

The third proportional to 227,144,263,539 and 490,555,718,214 is: 1,059,436,452,072.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,144,263,539 : 490,555,718,214 = 490,555,718,214 : x
  2. Step 2: Convert to fraction form
    227,144,263,539/490,555,718,214 = 490,555,718,214/x
  3. Step 3: Cross multiply
    227,144,263,539x = 490,555,718,214 × 490,555,718,214
  4. Step 4: Simplify right side
    227,144,263,539x = 240,644,912,672,453,387,354,112
  5. Step 5: Solve for x
    x = 240,644,912,672,453,387,354,112/227,144,263,539
  6. Step 6: Final answer
    x = 1,059,436,452,072.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.