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Finding the Third Proportional to 29,965,512.38 and 65,763,651.38

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Solution

The third proportional to 29,965,512.38 and 65,763,651.38 is: 144,327,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965,512.38 : 65,763,651.38 = 65,763,651.38 : x
  2. Step 2: Convert to fraction form
    29,965,512.38/65,763,651.38 = 65,763,651.38/x
  3. Step 3: Cross multiply
    29,965,512.38x = 65,763,651.38 × 65,763,651.38
  4. Step 4: Simplify right side
    29,965,512.38x = 4,324,857,842,172,539.50
  5. Step 5: Solve for x
    x = 4,324,857,842,172,539.50/29,965,512.38
  6. Step 6: Final answer
    x = 144,327,845.56

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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.