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Finding the Third Proportional to 22,694,117,997 and 49,663,310,358

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Solution

The third proportional to 22,694,117,997 and 49,663,310,358 is: 108,682,099,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,694,117,997 : 49,663,310,358 = 49,663,310,358 : x
  2. Step 2: Convert to fraction form
    22,694,117,997/49,663,310,358 = 49,663,310,358/x
  3. Step 3: Cross multiply
    22,694,117,997x = 49,663,310,358 × 49,663,310,358
  4. Step 4: Simplify right side
    22,694,117,997x = 2,466,444,395,715,029,893,120
  5. Step 5: Solve for x
    x = 2,466,444,395,715,029,893,120/22,694,117,997
  6. Step 6: Final answer
    x = 108,682,099,742.37

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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.