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Finding the Third Proportional to 3,431,406 and 7,427,625

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Solution

The third proportional to 3,431,406 and 7,427,625 is: 16,077,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431,406 : 7,427,625 = 7,427,625 : x
  2. Step 2: Convert to fraction form
    3,431,406/7,427,625 = 7,427,625/x
  3. Step 3: Cross multiply
    3,431,406x = 7,427,625 × 7,427,625
  4. Step 4: Simplify right side
    3,431,406x = 55,169,613,140,625
  5. Step 5: Solve for x
    x = 55,169,613,140,625/3,431,406
  6. Step 6: Final answer
    x = 16,077,844.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.