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Finding the Third Proportional to 6,285,825 and 13,806,144

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Solution

The third proportional to 6,285,825 and 13,806,144 is: 30,323,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285,825 : 13,806,144 = 13,806,144 : x
  2. Step 2: Convert to fraction form
    6,285,825/13,806,144 = 13,806,144/x
  3. Step 3: Cross multiply
    6,285,825x = 13,806,144 × 13,806,144
  4. Step 4: Simplify right side
    6,285,825x = 190,609,612,148,736
  5. Step 5: Solve for x
    x = 190,609,612,148,736/6,285,825
  6. Step 6: Final answer
    x = 30,323,722.37

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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.