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Finding the Third Proportional to 10,830,435.75 and 23,786,325

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Solution

The third proportional to 10,830,435.75 and 23,786,325 is: 52,240,673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830,435.75 : 23,786,325 = 23,786,325 : x
  2. Step 2: Convert to fraction form
    10,830,435.75/23,786,325 = 23,786,325/x
  3. Step 3: Cross multiply
    10,830,435.75x = 23,786,325 × 23,786,325
  4. Step 4: Simplify right side
    10,830,435.75x = 565,789,257,005,625
  5. Step 5: Solve for x
    x = 565,789,257,005,625/10,830,435.75
  6. Step 6: Final answer
    x = 52,240,673.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.