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Finding the Third Proportional to 29,414,022 and 43,943,049

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Solution

The third proportional to 29,414,022 and 43,943,049 is: 65,648,674.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,414,022 : 43,943,049 = 43,943,049 : x
  2. Step 2: Convert to fraction form
    29,414,022/43,943,049 = 43,943,049/x
  3. Step 3: Cross multiply
    29,414,022x = 43,943,049 × 43,943,049
  4. Step 4: Simplify right side
    29,414,022x = 1,930,991,555,416,401
  5. Step 5: Solve for x
    x = 1,930,991,555,416,401/29,414,022
  6. Step 6: Final answer
    x = 65,648,674.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.