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Finding the Third Proportional to 10,244,932.50 and 21,817,149

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Solution

The third proportional to 10,244,932.50 and 21,817,149 is: 46,460,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244,932.50 : 21,817,149 = 21,817,149 : x
  2. Step 2: Convert to fraction form
    10,244,932.50/21,817,149 = 21,817,149/x
  3. Step 3: Cross multiply
    10,244,932.50x = 21,817,149 × 21,817,149
  4. Step 4: Simplify right side
    10,244,932.50x = 475,987,990,488,201
  5. Step 5: Solve for x
    x = 475,987,990,488,201/10,244,932.50
  6. Step 6: Final answer
    x = 46,460,822.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.