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Finding the Third Proportional to 3,066,153 and 6,450,114

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Solution

The third proportional to 3,066,153 and 6,450,114 is: 13,568,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066,153 : 6,450,114 = 6,450,114 : x
  2. Step 2: Convert to fraction form
    3,066,153/6,450,114 = 6,450,114/x
  3. Step 3: Cross multiply
    3,066,153x = 6,450,114 × 6,450,114
  4. Step 4: Simplify right side
    3,066,153x = 41,603,970,612,996
  5. Step 5: Solve for x
    x = 41,603,970,612,996/3,066,153
  6. Step 6: Final answer
    x = 13,568,784.93

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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.