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Finding the Third Proportional to 10,269,223.50 and 22,250,859

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Solution

The third proportional to 10,269,223.50 and 22,250,859 is: 48,212,089.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269,223.50 : 22,250,859 = 22,250,859 : x
  2. Step 2: Convert to fraction form
    10,269,223.50/22,250,859 = 22,250,859/x
  3. Step 3: Cross multiply
    10,269,223.50x = 22,250,859 × 22,250,859
  4. Step 4: Simplify right side
    10,269,223.50x = 495,100,726,237,881
  5. Step 5: Solve for x
    x = 495,100,726,237,881/10,269,223.50
  6. Step 6: Final answer
    x = 48,212,089.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.