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Finding the Third Proportional to 13,674,744 and 29,179,800

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Solution

The third proportional to 13,674,744 and 29,179,800 is: 62,265,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674,744 : 29,179,800 = 29,179,800 : x
  2. Step 2: Convert to fraction form
    13,674,744/29,179,800 = 29,179,800/x
  3. Step 3: Cross multiply
    13,674,744x = 29,179,800 × 29,179,800
  4. Step 4: Simplify right side
    13,674,744x = 851,460,728,040,000
  5. Step 5: Solve for x
    x = 851,460,728,040,000/13,674,744
  6. Step 6: Final answer
    x = 62,265,204.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.