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Finding the Third Proportional to 10,205,100 and 22,203,788

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Solution

The third proportional to 10,205,100 and 22,203,788 is: 48,309,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205,100 : 22,203,788 = 22,203,788 : x
  2. Step 2: Convert to fraction form
    10,205,100/22,203,788 = 22,203,788/x
  3. Step 3: Cross multiply
    10,205,100x = 22,203,788 × 22,203,788
  4. Step 4: Simplify right side
    10,205,100x = 493,008,201,548,944
  5. Step 5: Solve for x
    x = 493,008,201,548,944/10,205,100
  6. Step 6: Final answer
    x = 48,309,982.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.