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Finding the Third Proportional to 13,984,564 and 30,744,318

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Solution

The third proportional to 13,984,564 and 30,744,318 is: 67,589,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984,564 : 30,744,318 = 30,744,318 : x
  2. Step 2: Convert to fraction form
    13,984,564/30,744,318 = 30,744,318/x
  3. Step 3: Cross multiply
    13,984,564x = 30,744,318 × 30,744,318
  4. Step 4: Simplify right side
    13,984,564x = 945,213,089,285,124
  5. Step 5: Solve for x
    x = 945,213,089,285,124/13,984,564
  6. Step 6: Final answer
    x = 67,589,743.18

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