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Finding the Third Proportional to 10,233,533 and 22,389,857

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Solution

The third proportional to 10,233,533 and 22,389,857 is: 48,986,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233,533 : 22,389,857 = 22,389,857 : x
  2. Step 2: Convert to fraction form
    10,233,533/22,389,857 = 22,389,857/x
  3. Step 3: Cross multiply
    10,233,533x = 22,389,857 × 22,389,857
  4. Step 4: Simplify right side
    10,233,533x = 501,305,696,480,449
  5. Step 5: Solve for x
    x = 501,305,696,480,449/10,233,533
  6. Step 6: Final answer
    x = 48,986,571.55

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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.