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Finding the Third Proportional to 227,144,263,546 and 490,555,718,227

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Solution

The third proportional to 227,144,263,546 and 490,555,718,227 is: 1,059,436,452,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,144,263,546 : 490,555,718,227 = 490,555,718,227 : x
  2. Step 2: Convert to fraction form
    227,144,263,546/490,555,718,227 = 490,555,718,227/x
  3. Step 3: Cross multiply
    227,144,263,546x = 490,555,718,227 × 490,555,718,227
  4. Step 4: Simplify right side
    227,144,263,546x = 240,644,912,685,207,829,610,496
  5. Step 5: Solve for x
    x = 240,644,912,685,207,829,610,496/227,144,263,546
  6. Step 6: Final answer
    x = 1,059,436,452,096.33

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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.