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Finding the Third Proportional to 10,094,224.50 and 22,015,505.25

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Solution

The third proportional to 10,094,224.50 and 22,015,505.25 is: 48,015,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094,224.50 : 22,015,505.25 = 22,015,505.25 : x
  2. Step 2: Convert to fraction form
    10,094,224.50/22,015,505.25 = 22,015,505.25/x
  3. Step 3: Cross multiply
    10,094,224.50x = 22,015,505.25 × 22,015,505.25
  4. Step 4: Simplify right side
    10,094,224.50x = 484,682,471,412,777.56
  5. Step 5: Solve for x
    x = 484,682,471,412,777.56/10,094,224.50
  6. Step 6: Final answer
    x = 48,015,820.47

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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.