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Finding the Third Proportional to 13,432,966 and 20,188,817

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Solution

The third proportional to 13,432,966 and 20,188,817 is: 30,342,392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432,966 : 20,188,817 = 20,188,817 : x
  2. Step 2: Convert to fraction form
    13,432,966/20,188,817 = 20,188,817/x
  3. Step 3: Cross multiply
    13,432,966x = 20,188,817 × 20,188,817
  4. Step 4: Simplify right side
    13,432,966x = 407,588,331,859,489
  5. Step 5: Solve for x
    x = 407,588,331,859,489/13,432,966
  6. Step 6: Final answer
    x = 30,342,392.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.