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Finding the Third Proportional to 8,544,738.50 and 12,210,234

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Solution

The third proportional to 8,544,738.50 and 12,210,234 is: 17,448,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544,738.50 : 12,210,234 = 12,210,234 : x
  2. Step 2: Convert to fraction form
    8,544,738.50/12,210,234 = 12,210,234/x
  3. Step 3: Cross multiply
    8,544,738.50x = 12,210,234 × 12,210,234
  4. Step 4: Simplify right side
    8,544,738.50x = 149,089,814,334,756
  5. Step 5: Solve for x
    x = 149,089,814,334,756/8,544,738.50
  6. Step 6: Final answer
    x = 17,448,142.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.