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Finding the Third Proportional to 22,694,117,991 and 49,663,310,346

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Solution

The third proportional to 22,694,117,991 and 49,663,310,346 is: 108,682,099,718.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,694,117,991 : 49,663,310,346 = 49,663,310,346 : x
  2. Step 2: Convert to fraction form
    22,694,117,991/49,663,310,346 = 49,663,310,346/x
  3. Step 3: Cross multiply
    22,694,117,991x = 49,663,310,346 × 49,663,310,346
  4. Step 4: Simplify right side
    22,694,117,991x = 2,466,444,394,523,110,408,192
  5. Step 5: Solve for x
    x = 2,466,444,394,523,110,408,192/22,694,117,991
  6. Step 6: Final answer
    x = 108,682,099,718.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.