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Finding the Third Proportional to 547,222,937,004 and 1,176,801,044,274

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Solution

The third proportional to 547,222,937,004 and 1,176,801,044,274 is: 2,530,706,599,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,222,937,004 : 1,176,801,044,274 = 1,176,801,044,274 : x
  2. Step 2: Convert to fraction form
    547,222,937,004/1,176,801,044,274 = 1,176,801,044,274/x
  3. Step 3: Cross multiply
    547,222,937,004x = 1,176,801,044,274 × 1,176,801,044,274
  4. Step 4: Simplify right side
    547,222,937,004x = 1,384,860,697,804,376,954,109,952
  5. Step 5: Solve for x
    x = 1,384,860,697,804,376,954,109,952/547,222,937,004
  6. Step 6: Final answer
    x = 2,530,706,599,007.66

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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.