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Finding the Third Proportional to 22,694,117,995 and 49,663,310,354

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Solution

The third proportional to 22,694,117,995 and 49,663,310,354 is: 108,682,099,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,694,117,995 : 49,663,310,354 = 49,663,310,354 : x
  2. Step 2: Convert to fraction form
    22,694,117,995/49,663,310,354 = 49,663,310,354/x
  3. Step 3: Cross multiply
    22,694,117,995x = 49,663,310,354 × 49,663,310,354
  4. Step 4: Simplify right side
    22,694,117,995x = 2,466,444,395,317,723,398,144
  5. Step 5: Solve for x
    x = 2,466,444,395,317,723,398,144/22,694,117,995
  6. Step 6: Final answer
    x = 108,682,099,734.44

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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.