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Finding the Third Proportional to 10,166,808.50 and 22,348,825

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Solution

The third proportional to 10,166,808.50 and 22,348,825 is: 49,127,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166,808.50 : 22,348,825 = 22,348,825 : x
  2. Step 2: Convert to fraction form
    10,166,808.50/22,348,825 = 22,348,825/x
  3. Step 3: Cross multiply
    10,166,808.50x = 22,348,825 × 22,348,825
  4. Step 4: Simplify right side
    10,166,808.50x = 499,469,978,880,625
  5. Step 5: Solve for x
    x = 499,469,978,880,625/10,166,808.50
  6. Step 6: Final answer
    x = 49,127,509.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.