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Finding the Third Proportional to 6,606,195 and 10,106,741

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Solution

The third proportional to 6,606,195 and 10,106,741 is: 15,462,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,606,195 : 10,106,741 = 10,106,741 : x
  2. Step 2: Convert to fraction form
    6,606,195/10,106,741 = 10,106,741/x
  3. Step 3: Cross multiply
    6,606,195x = 10,106,741 × 10,106,741
  4. Step 4: Simplify right side
    6,606,195x = 102,146,213,641,081
  5. Step 5: Solve for x
    x = 102,146,213,641,081/6,606,195
  6. Step 6: Final answer
    x = 15,462,185.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.