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Finding the Third Proportional to 6,408,959,476,167 and 8,647,191,122,040

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Solution

The third proportional to 6,408,959,476,167 and 8,647,191,122,040 is: 11,667,091,136,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408,959,476,167 : 8,647,191,122,040 = 8,647,191,122,040 : x
  2. Step 2: Convert to fraction form
    6,408,959,476,167/8,647,191,122,040 = 8,647,191,122,040/x
  3. Step 3: Cross multiply
    6,408,959,476,167x = 8,647,191,122,040 × 8,647,191,122,040
  4. Step 4: Simplify right side
    6,408,959,476,167x = 74,773,914,301,087,397,693,095,936
  5. Step 5: Solve for x
    x = 74,773,914,301,087,397,693,095,936/6,408,959,476,167
  6. Step 6: Final answer
    x = 11,667,091,136,891.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.