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Finding the Third Proportional to 2,324,024 and 5,015,142

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Solution

The third proportional to 2,324,024 and 5,015,142 is: 10,822,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324,024 : 5,015,142 = 5,015,142 : x
  2. Step 2: Convert to fraction form
    2,324,024/5,015,142 = 5,015,142/x
  3. Step 3: Cross multiply
    2,324,024x = 5,015,142 × 5,015,142
  4. Step 4: Simplify right side
    2,324,024x = 25,151,649,280,164
  5. Step 5: Solve for x
    x = 25,151,649,280,164/2,324,024
  6. Step 6: Final answer
    x = 10,822,456.77

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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.