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Finding the Third Proportional to 4,187,193 and 9,200,148

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Solution

The third proportional to 4,187,193 and 9,200,148 is: 20,214,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187,193 : 9,200,148 = 9,200,148 : x
  2. Step 2: Convert to fraction form
    4,187,193/9,200,148 = 9,200,148/x
  3. Step 3: Cross multiply
    4,187,193x = 9,200,148 × 9,200,148
  4. Step 4: Simplify right side
    4,187,193x = 84,642,723,221,904
  5. Step 5: Solve for x
    x = 84,642,723,221,904/4,187,193
  6. Step 6: Final answer
    x = 20,214,669.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.