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Finding the Third Proportional to 227,144,263,544 and 490,555,718,226

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Solution

The third proportional to 227,144,263,544 and 490,555,718,226 is: 1,059,436,452,101.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,144,263,544 : 490,555,718,226 = 490,555,718,226 : x
  2. Step 2: Convert to fraction form
    227,144,263,544/490,555,718,226 = 490,555,718,226/x
  3. Step 3: Cross multiply
    227,144,263,544x = 490,555,718,226 × 490,555,718,226
  4. Step 4: Simplify right side
    227,144,263,544x = 240,644,912,684,226,698,018,816
  5. Step 5: Solve for x
    x = 240,644,912,684,226,698,018,816/227,144,263,544
  6. Step 6: Final answer
    x = 1,059,436,452,101.34

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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.