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Finding the Third Proportional to 4,187,206 and 9,200,176

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Solution

The third proportional to 4,187,206 and 9,200,176 is: 20,214,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187,206 : 9,200,176 = 9,200,176 : x
  2. Step 2: Convert to fraction form
    4,187,206/9,200,176 = 9,200,176/x
  3. Step 3: Cross multiply
    4,187,206x = 9,200,176 × 9,200,176
  4. Step 4: Simplify right side
    4,187,206x = 84,643,238,430,976
  5. Step 5: Solve for x
    x = 84,643,238,430,976/4,187,206
  6. Step 6: Final answer
    x = 20,214,729.93

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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.