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Finding the Third Proportional to 4,726,153 and 10,367,198

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Solution

The third proportional to 4,726,153 and 10,367,198 is: 22,741,285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726,153 : 10,367,198 = 10,367,198 : x
  2. Step 2: Convert to fraction form
    4,726,153/10,367,198 = 10,367,198/x
  3. Step 3: Cross multiply
    4,726,153x = 10,367,198 × 10,367,198
  4. Step 4: Simplify right side
    4,726,153x = 107,478,794,371,204
  5. Step 5: Solve for x
    x = 107,478,794,371,204/4,726,153
  6. Step 6: Final answer
    x = 22,741,285.43

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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.