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Finding the Third Proportional to 10,284,976 and 21,936,827

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Solution

The third proportional to 10,284,976 and 21,936,827 is: 46,789,061.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284,976 : 21,936,827 = 21,936,827 : x
  2. Step 2: Convert to fraction form
    10,284,976/21,936,827 = 21,936,827/x
  3. Step 3: Cross multiply
    10,284,976x = 21,936,827 × 21,936,827
  4. Step 4: Simplify right side
    10,284,976x = 481,224,378,827,929
  5. Step 5: Solve for x
    x = 481,224,378,827,929/10,284,976
  6. Step 6: Final answer
    x = 46,789,061.91

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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.