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Finding the Third Proportional to 23,101,989.75 and 35,512,546.50

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Solution

The third proportional to 23,101,989.75 and 35,512,546.50 is: 54,590,144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101,989.75 : 35,512,546.50 = 35,512,546.50 : x
  2. Step 2: Convert to fraction form
    23,101,989.75/35,512,546.50 = 35,512,546.50/x
  3. Step 3: Cross multiply
    23,101,989.75x = 35,512,546.50 × 35,512,546.50
  4. Step 4: Simplify right side
    23,101,989.75x = 1,261,140,958,914,662.25
  5. Step 5: Solve for x
    x = 1,261,140,958,914,662.25/23,101,989.75
  6. Step 6: Final answer
    x = 54,590,144.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.