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Finding the Third Proportional to 10,434,185 and 14,418,067

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Solution

The third proportional to 10,434,185 and 14,418,067 is: 19,923,037.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434,185 : 14,418,067 = 14,418,067 : x
  2. Step 2: Convert to fraction form
    10,434,185/14,418,067 = 14,418,067/x
  3. Step 3: Cross multiply
    10,434,185x = 14,418,067 × 14,418,067
  4. Step 4: Simplify right side
    10,434,185x = 207,880,656,016,489
  5. Step 5: Solve for x
    x = 207,880,656,016,489/10,434,185
  6. Step 6: Final answer
    x = 19,923,037.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.