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Finding the Third Proportional to 8,145,254.25 and 16,084,912.50

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Solution

The third proportional to 8,145,254.25 and 16,084,912.50 is: 31,763,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145,254.25 : 16,084,912.50 = 16,084,912.50 : x
  2. Step 2: Convert to fraction form
    8,145,254.25/16,084,912.50 = 16,084,912.50/x
  3. Step 3: Cross multiply
    8,145,254.25x = 16,084,912.50 × 16,084,912.50
  4. Step 4: Simplify right side
    8,145,254.25x = 258,724,410,132,656.25
  5. Step 5: Solve for x
    x = 258,724,410,132,656.25/8,145,254.25
  6. Step 6: Final answer
    x = 31,763,822.49

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.