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Finding the Third Proportional to 547,222,936,696 and 1,176,801,043,662

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Solution

The third proportional to 547,222,936,696 and 1,176,801,043,662 is: 2,530,706,597,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,222,936,696 : 1,176,801,043,662 = 1,176,801,043,662 : x
  2. Step 2: Convert to fraction form
    547,222,936,696/1,176,801,043,662 = 1,176,801,043,662/x
  3. Step 3: Cross multiply
    547,222,936,696x = 1,176,801,043,662 × 1,176,801,043,662
  4. Step 4: Simplify right side
    547,222,936,696x = 1,384,860,696,363,972,429,873,152
  5. Step 5: Solve for x
    x = 1,384,860,696,363,972,429,873,152/547,222,936,696
  6. Step 6: Final answer
    x = 2,530,706,597,799.84

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