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Finding the Third Proportional to 10,422,024.75 and 22,638,163.88

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Solution

The third proportional to 10,422,024.75 and 22,638,163.88 is: 49,173,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422,024.75 : 22,638,163.88 = 22,638,163.88 : x
  2. Step 2: Convert to fraction form
    10,422,024.75/22,638,163.88 = 22,638,163.88/x
  3. Step 3: Cross multiply
    10,422,024.75x = 22,638,163.88 × 22,638,163.88
  4. Step 4: Simplify right side
    10,422,024.75x = 512,486,463,631,355
  5. Step 5: Solve for x
    x = 512,486,463,631,355/10,422,024.75
  6. Step 6: Final answer
    x = 49,173,406.89

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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.