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Finding the Third Proportional to 66,544,758,930 and 147,967,976,289

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Solution

The third proportional to 66,544,758,930 and 147,967,976,289 is: 329,019,480,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,544,758,930 : 147,967,976,289 = 147,967,976,289 : x
  2. Step 2: Convert to fraction form
    66,544,758,930/147,967,976,289 = 147,967,976,289/x
  3. Step 3: Cross multiply
    66,544,758,930x = 147,967,976,289 × 147,967,976,289
  4. Step 4: Simplify right side
    66,544,758,930x = 21,894,522,007,062,065,446,912
  5. Step 5: Solve for x
    x = 21,894,522,007,062,065,446,912/66,544,758,930
  6. Step 6: Final answer
    x = 329,019,480,408.57

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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.