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Finding the Third Proportional to 4,885,824 and 10,420,848

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Solution

The third proportional to 4,885,824 and 10,420,848 is: 22,226,357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885,824 : 10,420,848 = 10,420,848 : x
  2. Step 2: Convert to fraction form
    4,885,824/10,420,848 = 10,420,848/x
  3. Step 3: Cross multiply
    4,885,824x = 10,420,848 × 10,420,848
  4. Step 4: Simplify right side
    4,885,824x = 108,594,073,039,104
  5. Step 5: Solve for x
    x = 108,594,073,039,104/4,885,824
  6. Step 6: Final answer
    x = 22,226,357.94

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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.