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Finding the Third Proportional to 3,431,718 and 7,461,036

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Solution

The third proportional to 3,431,718 and 7,461,036 is: 16,221,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431,718 : 7,461,036 = 7,461,036 : x
  2. Step 2: Convert to fraction form
    3,431,718/7,461,036 = 7,461,036/x
  3. Step 3: Cross multiply
    3,431,718x = 7,461,036 × 7,461,036
  4. Step 4: Simplify right side
    3,431,718x = 55,667,058,193,296
  5. Step 5: Solve for x
    x = 55,667,058,193,296/3,431,718
  6. Step 6: Final answer
    x = 16,221,338.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.