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Finding the Third Proportional to 5,783,224.50 and 12,563,424

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Solution

The third proportional to 5,783,224.50 and 12,563,424 is: 27,292,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783,224.50 : 12,563,424 = 12,563,424 : x
  2. Step 2: Convert to fraction form
    5,783,224.50/12,563,424 = 12,563,424/x
  3. Step 3: Cross multiply
    5,783,224.50x = 12,563,424 × 12,563,424
  4. Step 4: Simplify right side
    5,783,224.50x = 157,839,622,603,776
  5. Step 5: Solve for x
    x = 157,839,622,603,776/5,783,224.50
  6. Step 6: Final answer
    x = 27,292,667.37

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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.