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Finding the Third Proportional to 20,976,831 and 46,116,449

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Solution

The third proportional to 20,976,831 and 46,116,449 is: 101,384,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,976,831 : 46,116,449 = 46,116,449 : x
  2. Step 2: Convert to fraction form
    20,976,831/46,116,449 = 46,116,449/x
  3. Step 3: Cross multiply
    20,976,831x = 46,116,449 × 46,116,449
  4. Step 4: Simplify right side
    20,976,831x = 2,126,726,868,369,601
  5. Step 5: Solve for x
    x = 2,126,726,868,369,601/20,976,831
  6. Step 6: Final answer
    x = 101,384,564.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.