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Finding the Third Proportional to 23,659,114.50 and 49,115,936.25

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Solution

The third proportional to 23,659,114.50 and 49,115,936.25 is: 101,963,883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,659,114.50 : 49,115,936.25 = 49,115,936.25 : x
  2. Step 2: Convert to fraction form
    23,659,114.50/49,115,936.25 = 49,115,936.25/x
  3. Step 3: Cross multiply
    23,659,114.50x = 49,115,936.25 × 49,115,936.25
  4. Step 4: Simplify right side
    23,659,114.50x = 2,412,375,193,714,064
  5. Step 5: Solve for x
    x = 2,412,375,193,714,064/23,659,114.50
  6. Step 6: Final answer
    x = 101,963,883.46

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