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Finding the Third Proportional to 3,509,100 and 7,540,163

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Solution

The third proportional to 3,509,100 and 7,540,163 is: 16,201,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509,100 : 7,540,163 = 7,540,163 : x
  2. Step 2: Convert to fraction form
    3,509,100/7,540,163 = 7,540,163/x
  3. Step 3: Cross multiply
    3,509,100x = 7,540,163 × 7,540,163
  4. Step 4: Simplify right side
    3,509,100x = 56,854,058,066,569
  5. Step 5: Solve for x
    x = 56,854,058,066,569/3,509,100
  6. Step 6: Final answer
    x = 16,201,891.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.