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Finding the Third Proportional to 4,738,524 and 10,233,570

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Solution

The third proportional to 4,738,524 and 10,233,570 is: 22,100,965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738,524 : 10,233,570 = 10,233,570 : x
  2. Step 2: Convert to fraction form
    4,738,524/10,233,570 = 10,233,570/x
  3. Step 3: Cross multiply
    4,738,524x = 10,233,570 × 10,233,570
  4. Step 4: Simplify right side
    4,738,524x = 104,725,954,944,900
  5. Step 5: Solve for x
    x = 104,725,954,944,900/4,738,524
  6. Step 6: Final answer
    x = 22,100,965.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.