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Finding the Third Proportional to 7,342,880 and 10,322,134

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Solution

The third proportional to 7,342,880 and 10,322,134 is: 14,510,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342,880 : 10,322,134 = 10,322,134 : x
  2. Step 2: Convert to fraction form
    7,342,880/10,322,134 = 10,322,134/x
  3. Step 3: Cross multiply
    7,342,880x = 10,322,134 × 10,322,134
  4. Step 4: Simplify right side
    7,342,880x = 106,546,450,313,956
  5. Step 5: Solve for x
    x = 106,546,450,313,956/7,342,880
  6. Step 6: Final answer
    x = 14,510,171.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.