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Finding the Third Proportional to 4,785,093 and 10,500,204

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Solution

The third proportional to 4,785,093 and 10,500,204 is: 23,041,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785,093 : 10,500,204 = 10,500,204 : x
  2. Step 2: Convert to fraction form
    4,785,093/10,500,204 = 10,500,204/x
  3. Step 3: Cross multiply
    4,785,093x = 10,500,204 × 10,500,204
  4. Step 4: Simplify right side
    4,785,093x = 110,254,284,041,616
  5. Step 5: Solve for x
    x = 110,254,284,041,616/4,785,093
  6. Step 6: Final answer
    x = 23,041,199.83

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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.