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Finding the Third Proportional to 3,066,200 and 6,450,168

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Solution

The third proportional to 3,066,200 and 6,450,168 is: 13,568,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066,200 : 6,450,168 = 6,450,168 : x
  2. Step 2: Convert to fraction form
    3,066,200/6,450,168 = 6,450,168/x
  3. Step 3: Cross multiply
    3,066,200x = 6,450,168 × 6,450,168
  4. Step 4: Simplify right side
    3,066,200x = 41,604,667,228,224
  5. Step 5: Solve for x
    x = 41,604,667,228,224/3,066,200
  6. Step 6: Final answer
    x = 13,568,804.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.