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Finding the Third Proportional to 7,274,716 and 10,114,912

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Solution

The third proportional to 7,274,716 and 10,114,912 is: 14,063,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274,716 : 10,114,912 = 10,114,912 : x
  2. Step 2: Convert to fraction form
    7,274,716/10,114,912 = 10,114,912/x
  3. Step 3: Cross multiply
    7,274,716x = 10,114,912 × 10,114,912
  4. Step 4: Simplify right side
    7,274,716x = 102,311,444,767,744
  5. Step 5: Solve for x
    x = 102,311,444,767,744/7,274,716
  6. Step 6: Final answer
    x = 14,063,977.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.