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Finding the Third Proportional to 66,544,758,907 and 147,967,976,245

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Solution

The third proportional to 66,544,758,907 and 147,967,976,245 is: 329,019,480,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,544,758,907 : 147,967,976,245 = 147,967,976,245 : x
  2. Step 2: Convert to fraction form
    66,544,758,907/147,967,976,245 = 147,967,976,245/x
  3. Step 3: Cross multiply
    66,544,758,907x = 147,967,976,245 × 147,967,976,245
  4. Step 4: Simplify right side
    66,544,758,907x = 21,894,521,994,040,882,233,344
  5. Step 5: Solve for x
    x = 21,894,521,994,040,882,233,344/66,544,758,907
  6. Step 6: Final answer
    x = 329,019,480,326.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.