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Finding the Third Proportional to 13,933,914 and 21,110,829

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Solution

The third proportional to 13,933,914 and 21,110,829 is: 31,984,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,933,914 : 21,110,829 = 21,110,829 : x
  2. Step 2: Convert to fraction form
    13,933,914/21,110,829 = 21,110,829/x
  3. Step 3: Cross multiply
    13,933,914x = 21,110,829 × 21,110,829
  4. Step 4: Simplify right side
    13,933,914x = 445,667,101,067,241
  5. Step 5: Solve for x
    x = 445,667,101,067,241/13,933,914
  6. Step 6: Final answer
    x = 31,984,344.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.