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Finding the Third Proportional to 11,649,324 and 18,234,536

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Solution

The third proportional to 11,649,324 and 18,234,536 is: 28,542,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649,324 : 18,234,536 = 18,234,536 : x
  2. Step 2: Convert to fraction form
    11,649,324/18,234,536 = 18,234,536/x
  3. Step 3: Cross multiply
    11,649,324x = 18,234,536 × 18,234,536
  4. Step 4: Simplify right side
    11,649,324x = 332,498,303,135,296
  5. Step 5: Solve for x
    x = 332,498,303,135,296/11,649,324
  6. Step 6: Final answer
    x = 28,542,283.07

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.