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Finding the Third Proportional to 547,222,937,006 and 1,176,801,044,278

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Solution

The third proportional to 547,222,937,006 and 1,176,801,044,278 is: 2,530,706,599,015.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,222,937,006 : 1,176,801,044,278 = 1,176,801,044,278 : x
  2. Step 2: Convert to fraction form
    547,222,937,006/1,176,801,044,278 = 1,176,801,044,278/x
  3. Step 3: Cross multiply
    547,222,937,006x = 1,176,801,044,278 × 1,176,801,044,278
  4. Step 4: Simplify right side
    547,222,937,006x = 1,384,860,697,813,791,253,987,328
  5. Step 5: Solve for x
    x = 1,384,860,697,813,791,253,987,328/547,222,937,006
  6. Step 6: Final answer
    x = 2,530,706,599,015.62

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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.