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Finding the Third Proportional to 49,436,633 and 104,478,297

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Solution

The third proportional to 49,436,633 and 104,478,297 is: 220,802,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,436,633 : 104,478,297 = 104,478,297 : x
  2. Step 2: Convert to fraction form
    49,436,633/104,478,297 = 104,478,297/x
  3. Step 3: Cross multiply
    49,436,633x = 104,478,297 × 104,478,297
  4. Step 4: Simplify right side
    49,436,633x = 10,915,714,544,020,208
  5. Step 5: Solve for x
    x = 10,915,714,544,020,208/49,436,633
  6. Step 6: Final answer
    x = 220,802,143.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.