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Finding the Third Proportional to 3,613,664 and 7,135,936

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Solution

The third proportional to 3,613,664 and 7,135,936 is: 14,091,399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613,664 : 7,135,936 = 7,135,936 : x
  2. Step 2: Convert to fraction form
    3,613,664/7,135,936 = 7,135,936/x
  3. Step 3: Cross multiply
    3,613,664x = 7,135,936 × 7,135,936
  4. Step 4: Simplify right side
    3,613,664x = 50,921,582,596,096
  5. Step 5: Solve for x
    x = 50,921,582,596,096/3,613,664
  6. Step 6: Final answer
    x = 14,091,399.37

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.