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Finding the Third Proportional to 51,365,720 and 106,982,992

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Solution

The third proportional to 51,365,720 and 106,982,992 is: 222,820,989.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,365,720 : 106,982,992 = 106,982,992 : x
  2. Step 2: Convert to fraction form
    51,365,720/106,982,992 = 106,982,992/x
  3. Step 3: Cross multiply
    51,365,720x = 106,982,992 × 106,982,992
  4. Step 4: Simplify right side
    51,365,720x = 11,445,360,577,272,064
  5. Step 5: Solve for x
    x = 11,445,360,577,272,064/51,365,720
  6. Step 6: Final answer
    x = 222,820,989.90

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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.