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Finding the Third Proportional to 49,735,320 and 107,028,912

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Solution

The third proportional to 49,735,320 and 107,028,912 is: 230,322,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,735,320 : 107,028,912 = 107,028,912 : x
  2. Step 2: Convert to fraction form
    49,735,320/107,028,912 = 107,028,912/x
  3. Step 3: Cross multiply
    49,735,320x = 107,028,912 × 107,028,912
  4. Step 4: Simplify right side
    49,735,320x = 11,455,188,003,903,744
  5. Step 5: Solve for x
    x = 11,455,188,003,903,744/49,735,320
  6. Step 6: Final answer
    x = 230,322,997.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.