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Finding the Third Proportional to 34,957,747.13 and 52,922,458.69

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Solution

The third proportional to 34,957,747.13 and 52,922,458.69 is: 80,119,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,957,747.13 : 52,922,458.69 = 52,922,458.69 : x
  2. Step 2: Convert to fraction form
    34,957,747.13/52,922,458.69 = 52,922,458.69/x
  3. Step 3: Cross multiply
    34,957,747.13x = 52,922,458.69 × 52,922,458.69
  4. Step 4: Simplify right side
    34,957,747.13x = 2,800,786,633,530,144
  5. Step 5: Solve for x
    x = 2,800,786,633,530,144/34,957,747.13
  6. Step 6: Final answer
    x = 80,119,197.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.