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Finding the Third Proportional to 4,572,744 and 9,752,832

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Solution

The third proportional to 4,572,744 and 9,752,832 is: 20,801,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572,744 : 9,752,832 = 9,752,832 : x
  2. Step 2: Convert to fraction form
    4,572,744/9,752,832 = 9,752,832/x
  3. Step 3: Cross multiply
    4,572,744x = 9,752,832 × 9,752,832
  4. Step 4: Simplify right side
    4,572,744x = 95,117,732,020,224
  5. Step 5: Solve for x
    x = 95,117,732,020,224/4,572,744
  6. Step 6: Final answer
    x = 20,801,018.39

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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.