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Finding the Third Proportional to 6,384,624 and 13,782,144

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Solution

The third proportional to 6,384,624 and 13,782,144 is: 29,750,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384,624 : 13,782,144 = 13,782,144 : x
  2. Step 2: Convert to fraction form
    6,384,624/13,782,144 = 13,782,144/x
  3. Step 3: Cross multiply
    6,384,624x = 13,782,144 × 13,782,144
  4. Step 4: Simplify right side
    6,384,624x = 189,947,493,236,736
  5. Step 5: Solve for x
    x = 189,947,493,236,736/6,384,624
  6. Step 6: Final answer
    x = 29,750,772.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.