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Finding the Third Proportional to 10,215,850.50 and 22,225,302

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Solution

The third proportional to 10,215,850.50 and 22,225,302 is: 48,352,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215,850.50 : 22,225,302 = 22,225,302 : x
  2. Step 2: Convert to fraction form
    10,215,850.50/22,225,302 = 22,225,302/x
  3. Step 3: Cross multiply
    10,215,850.50x = 22,225,302 × 22,225,302
  4. Step 4: Simplify right side
    10,215,850.50x = 493,964,048,991,204
  5. Step 5: Solve for x
    x = 493,964,048,991,204/10,215,850.50
  6. Step 6: Final answer
    x = 48,352,709.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.