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Finding the Third Proportional to 6,436,165 and 9,542,863

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Solution

The third proportional to 6,436,165 and 9,542,863 is: 14,149,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436,165 : 9,542,863 = 9,542,863 : x
  2. Step 2: Convert to fraction form
    6,436,165/9,542,863 = 9,542,863/x
  3. Step 3: Cross multiply
    6,436,165x = 9,542,863 × 9,542,863
  4. Step 4: Simplify right side
    6,436,165x = 91,066,234,236,769
  5. Step 5: Solve for x
    x = 91,066,234,236,769/6,436,165
  6. Step 6: Final answer
    x = 14,149,145.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.