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Finding the Third Proportional to 4,129,704 and 9,057,096

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Solution

The third proportional to 4,129,704 and 9,057,096 is: 19,863,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129,704 : 9,057,096 = 9,057,096 : x
  2. Step 2: Convert to fraction form
    4,129,704/9,057,096 = 9,057,096/x
  3. Step 3: Cross multiply
    4,129,704x = 9,057,096 × 9,057,096
  4. Step 4: Simplify right side
    4,129,704x = 82,030,987,953,216
  5. Step 5: Solve for x
    x = 82,030,987,953,216/4,129,704
  6. Step 6: Final answer
    x = 19,863,648.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.