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Finding the Third Proportional to 16,412,645.25 and 25,745,682.94

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Solution

The third proportional to 16,412,645.25 and 25,745,682.94 is: 40,385,945.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412,645.25 : 25,745,682.94 = 25,745,682.94 : x
  2. Step 2: Convert to fraction form
    16,412,645.25/25,745,682.94 = 25,745,682.94/x
  3. Step 3: Cross multiply
    16,412,645.25x = 25,745,682.94 × 25,745,682.94
  4. Step 4: Simplify right side
    16,412,645.25x = 662,840,189,918,278.62
  5. Step 5: Solve for x
    x = 662,840,189,918,278.62/16,412,645.25
  6. Step 6: Final answer
    x = 40,385,945.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.