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Finding the Third Proportional to 11,649,057 and 18,234,115

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Solution

The third proportional to 11,649,057 and 18,234,115 is: 28,541,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649,057 : 18,234,115 = 18,234,115 : x
  2. Step 2: Convert to fraction form
    11,649,057/18,234,115 = 18,234,115/x
  3. Step 3: Cross multiply
    11,649,057x = 18,234,115 × 18,234,115
  4. Step 4: Simplify right side
    11,649,057x = 332,482,949,833,225
  5. Step 5: Solve for x
    x = 332,482,949,833,225/11,649,057
  6. Step 6: Final answer
    x = 28,541,619.28

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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.