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Finding the Third Proportional to 10,451,723.50 and 22,505,151

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Solution

The third proportional to 10,451,723.50 and 22,505,151 is: 48,459,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451,723.50 : 22,505,151 = 22,505,151 : x
  2. Step 2: Convert to fraction form
    10,451,723.50/22,505,151 = 22,505,151/x
  3. Step 3: Cross multiply
    10,451,723.50x = 22,505,151 × 22,505,151
  4. Step 4: Simplify right side
    10,451,723.50x = 506,481,821,532,801
  5. Step 5: Solve for x
    x = 506,481,821,532,801/10,451,723.50
  6. Step 6: Final answer
    x = 48,459,167.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.