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Finding the Third Proportional to 29,965,609 and 65,763,860

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Solution

The third proportional to 29,965,609 and 65,763,860 is: 144,328,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965,609 : 65,763,860 = 65,763,860 : x
  2. Step 2: Convert to fraction form
    29,965,609/65,763,860 = 65,763,860/x
  3. Step 3: Cross multiply
    29,965,609x = 65,763,860 × 65,763,860
  4. Step 4: Simplify right side
    29,965,609x = 4,324,885,282,099,600
  5. Step 5: Solve for x
    x = 4,324,885,282,099,600/29,965,609
  6. Step 6: Final answer
    x = 144,328,295.88

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