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Finding the Third Proportional to 22,916,544 and 48,192,384

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Solution

The third proportional to 22,916,544 and 48,192,384 is: 101,346,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,916,544 : 48,192,384 = 48,192,384 : x
  2. Step 2: Convert to fraction form
    22,916,544/48,192,384 = 48,192,384/x
  3. Step 3: Cross multiply
    22,916,544x = 48,192,384 × 48,192,384
  4. Step 4: Simplify right side
    22,916,544x = 2,322,505,875,603,456
  5. Step 5: Solve for x
    x = 2,322,505,875,603,456/22,916,544
  6. Step 6: Final answer
    x = 101,346,253.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.