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Finding the Third Proportional to 5,859,471 and 12,853,493.25

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Solution

The third proportional to 5,859,471 and 12,853,493.25 is: 28,195,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859,471 : 12,853,493.25 = 12,853,493.25 : x
  2. Step 2: Convert to fraction form
    5,859,471/12,853,493.25 = 12,853,493.25/x
  3. Step 3: Cross multiply
    5,859,471x = 12,853,493.25 × 12,853,493.25
  4. Step 4: Simplify right side
    5,859,471x = 165,212,288,727,795.56
  5. Step 5: Solve for x
    x = 165,212,288,727,795.56/5,859,471
  6. Step 6: Final answer
    x = 28,195,768.65

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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.