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Finding the Third Proportional to 10,166,808 and 22,348,824

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Solution

The third proportional to 10,166,808 and 22,348,824 is: 49,127,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166,808 : 22,348,824 = 22,348,824 : x
  2. Step 2: Convert to fraction form
    10,166,808/22,348,824 = 22,348,824/x
  3. Step 3: Cross multiply
    10,166,808x = 22,348,824 × 22,348,824
  4. Step 4: Simplify right side
    10,166,808x = 499,469,934,182,976
  5. Step 5: Solve for x
    x = 499,469,934,182,976/10,166,808
  6. Step 6: Final answer
    x = 49,127,507.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.