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Finding the Third Proportional to 5,105,205 and 10,886,193

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Solution

The third proportional to 5,105,205 and 10,886,193 is: 23,213,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105,205 : 10,886,193 = 10,886,193 : x
  2. Step 2: Convert to fraction form
    5,105,205/10,886,193 = 10,886,193/x
  3. Step 3: Cross multiply
    5,105,205x = 10,886,193 × 10,886,193
  4. Step 4: Simplify right side
    5,105,205x = 118,509,198,033,249
  5. Step 5: Solve for x
    x = 118,509,198,033,249/5,105,205
  6. Step 6: Final answer
    x = 23,213,406.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.