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Finding the Third Proportional to 51,365,736 and 106,983,024

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Solution

The third proportional to 51,365,736 and 106,983,024 is: 222,821,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,365,736 : 106,983,024 = 106,983,024 : x
  2. Step 2: Convert to fraction form
    51,365,736/106,983,024 = 106,983,024/x
  3. Step 3: Cross multiply
    51,365,736x = 106,983,024 × 106,983,024
  4. Step 4: Simplify right side
    51,365,736x = 11,445,367,424,184,576
  5. Step 5: Solve for x
    x = 11,445,367,424,184,576/51,365,736
  6. Step 6: Final answer
    x = 222,821,053.79

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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.