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Finding the Third Proportional to 30,448,234.13 and 43,992,431.44

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Solution

The third proportional to 30,448,234.13 and 43,992,431.44 is: 63,561,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,448,234.13 : 43,992,431.44 = 43,992,431.44 : x
  2. Step 2: Convert to fraction form
    30,448,234.13/43,992,431.44 = 43,992,431.44/x
  3. Step 3: Cross multiply
    30,448,234.13x = 43,992,431.44 × 43,992,431.44
  4. Step 4: Simplify right side
    30,448,234.13x = 1,935,334,023,783,138.25
  5. Step 5: Solve for x
    x = 1,935,334,023,783,138.25/30,448,234.13
  6. Step 6: Final answer
    x = 63,561,453.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.