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Finding the Third Proportional to 7,311,208 and 10,220,993

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Solution

The third proportional to 7,311,208 and 10,220,993 is: 14,288,842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311,208 : 10,220,993 = 10,220,993 : x
  2. Step 2: Convert to fraction form
    7,311,208/10,220,993 = 10,220,993/x
  3. Step 3: Cross multiply
    7,311,208x = 10,220,993 × 10,220,993
  4. Step 4: Simplify right side
    7,311,208x = 104,468,697,906,049
  5. Step 5: Solve for x
    x = 104,468,697,906,049/7,311,208
  6. Step 6: Final answer
    x = 14,288,842.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.