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Finding the Third Proportional to 13,984,558 and 30,744,306

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Solution

The third proportional to 13,984,558 and 30,744,306 is: 67,589,719.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984,558 : 30,744,306 = 30,744,306 : x
  2. Step 2: Convert to fraction form
    13,984,558/30,744,306 = 30,744,306/x
  3. Step 3: Cross multiply
    13,984,558x = 30,744,306 × 30,744,306
  4. Step 4: Simplify right side
    13,984,558x = 945,212,351,421,636
  5. Step 5: Solve for x
    x = 945,212,351,421,636/13,984,558
  6. Step 6: Final answer
    x = 67,589,719.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.