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Finding the Third Proportional to 6,436,066 and 9,542,775

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Solution

The third proportional to 6,436,066 and 9,542,775 is: 14,149,102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436,066 : 9,542,775 = 9,542,775 : x
  2. Step 2: Convert to fraction form
    6,436,066/9,542,775 = 9,542,775/x
  3. Step 3: Cross multiply
    6,436,066x = 9,542,775 × 9,542,775
  4. Step 4: Simplify right side
    6,436,066x = 91,064,554,700,625
  5. Step 5: Solve for x
    x = 91,064,554,700,625/6,436,066
  6. Step 6: Final answer
    x = 14,149,102.06

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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.