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Finding the Third Proportional to 3,066,170 and 6,450,148

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Solution

The third proportional to 3,066,170 and 6,450,148 is: 13,568,852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066,170 : 6,450,148 = 6,450,148 : x
  2. Step 2: Convert to fraction form
    3,066,170/6,450,148 = 6,450,148/x
  3. Step 3: Cross multiply
    3,066,170x = 6,450,148 × 6,450,148
  4. Step 4: Simplify right side
    3,066,170x = 41,604,409,221,904
  5. Step 5: Solve for x
    x = 41,604,409,221,904/3,066,170
  6. Step 6: Final answer
    x = 13,568,852.75

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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.