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Finding the Third Proportional to 10,123,223.50 and 21,782,720

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Solution

The third proportional to 10,123,223.50 and 21,782,720 is: 46,871,126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123,223.50 : 21,782,720 = 21,782,720 : x
  2. Step 2: Convert to fraction form
    10,123,223.50/21,782,720 = 21,782,720/x
  3. Step 3: Cross multiply
    10,123,223.50x = 21,782,720 × 21,782,720
  4. Step 4: Simplify right side
    10,123,223.50x = 474,486,890,598,400
  5. Step 5: Solve for x
    x = 474,486,890,598,400/10,123,223.50
  6. Step 6: Final answer
    x = 46,871,126.63

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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.