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Finding the Third Proportional to 3,066,165 and 6,450,138

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Solution

The third proportional to 3,066,165 and 6,450,138 is: 13,568,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066,165 : 6,450,138 = 6,450,138 : x
  2. Step 2: Convert to fraction form
    3,066,165/6,450,138 = 6,450,138/x
  3. Step 3: Cross multiply
    3,066,165x = 6,450,138 × 6,450,138
  4. Step 4: Simplify right side
    3,066,165x = 41,604,280,219,044
  5. Step 5: Solve for x
    x = 41,604,280,219,044/3,066,165
  6. Step 6: Final answer
    x = 13,568,832.80

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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.