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Finding the Third Proportional to 6,024,960 and 8,427,016

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Solution

The third proportional to 6,024,960 and 8,427,016 is: 11,786,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024,960 : 8,427,016 = 8,427,016 : x
  2. Step 2: Convert to fraction form
    6,024,960/8,427,016 = 8,427,016/x
  3. Step 3: Cross multiply
    6,024,960x = 8,427,016 × 8,427,016
  4. Step 4: Simplify right side
    6,024,960x = 71,014,598,664,256
  5. Step 5: Solve for x
    x = 71,014,598,664,256/6,024,960
  6. Step 6: Final answer
    x = 11,786,733.63

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.