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Finding the Third Proportional to 51,365,722 and 106,982,996

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Solution

The third proportional to 51,365,722 and 106,982,996 is: 222,820,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,365,722 : 106,982,996 = 106,982,996 : x
  2. Step 2: Convert to fraction form
    51,365,722/106,982,996 = 106,982,996/x
  3. Step 3: Cross multiply
    51,365,722x = 106,982,996 × 106,982,996
  4. Step 4: Simplify right side
    51,365,722x = 11,445,361,433,136,016
  5. Step 5: Solve for x
    x = 11,445,361,433,136,016/51,365,722
  6. Step 6: Final answer
    x = 222,820,997.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.