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Finding the Third Proportional to 11,649,058 and 18,234,116

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Solution

The third proportional to 11,649,058 and 18,234,116 is: 28,541,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649,058 : 18,234,116 = 18,234,116 : x
  2. Step 2: Convert to fraction form
    11,649,058/18,234,116 = 18,234,116/x
  3. Step 3: Cross multiply
    11,649,058x = 18,234,116 × 18,234,116
  4. Step 4: Simplify right side
    11,649,058x = 332,482,986,301,456
  5. Step 5: Solve for x
    x = 332,482,986,301,456/11,649,058
  6. Step 6: Final answer
    x = 28,541,619.96

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Why These Related Problems?

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