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Finding the Third Proportional to 22,458,904,236 and 48,662,844,282

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Solution

The third proportional to 22,458,904,236 and 48,662,844,282 is: 105,440,247,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,458,904,236 : 48,662,844,282 = 48,662,844,282 : x
  2. Step 2: Convert to fraction form
    22,458,904,236/48,662,844,282 = 48,662,844,282/x
  3. Step 3: Cross multiply
    22,458,904,236x = 48,662,844,282 × 48,662,844,282
  4. Step 4: Simplify right side
    22,458,904,236x = 2,368,072,413,614,179,876,864
  5. Step 5: Solve for x
    x = 2,368,072,413,614,179,876,864/22,458,904,236
  6. Step 6: Final answer
    x = 105,440,247,161.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.