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Finding the Third Proportional to 7,311,199 and 10,220,977

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Solution

The third proportional to 7,311,199 and 10,220,977 is: 14,288,815.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311,199 : 10,220,977 = 10,220,977 : x
  2. Step 2: Convert to fraction form
    7,311,199/10,220,977 = 10,220,977/x
  3. Step 3: Cross multiply
    7,311,199x = 10,220,977 × 10,220,977
  4. Step 4: Simplify right side
    7,311,199x = 104,468,370,834,529
  5. Step 5: Solve for x
    x = 104,468,370,834,529/7,311,199
  6. Step 6: Final answer
    x = 14,288,815.12

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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.