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Finding the Third Proportional to 227,352,649,198 and 489,187,525,848

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Solution

The third proportional to 227,352,649,198 and 489,187,525,848 is: 1,052,569,373,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,352,649,198 : 489,187,525,848 = 489,187,525,848 : x
  2. Step 2: Convert to fraction form
    227,352,649,198/489,187,525,848 = 489,187,525,848/x
  3. Step 3: Cross multiply
    227,352,649,198x = 489,187,525,848 × 489,187,525,848
  4. Step 4: Simplify right side
    227,352,649,198x = 239,304,435,445,287,656,357,888
  5. Step 5: Solve for x
    x = 239,304,435,445,287,656,357,888/227,352,649,198
  6. Step 6: Final answer
    x = 1,052,569,373,127.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.