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Finding the Third Proportional to 8,212,169.25 and 17,722,750.13

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Solution

The third proportional to 8,212,169.25 and 17,722,750.13 is: 38,247,613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212,169.25 : 17,722,750.13 = 17,722,750.13 : x
  2. Step 2: Convert to fraction form
    8,212,169.25/17,722,750.13 = 17,722,750.13/x
  3. Step 3: Cross multiply
    8,212,169.25x = 17,722,750.13 × 17,722,750.13
  4. Step 4: Simplify right side
    8,212,169.25x = 314,095,871,993,187.50
  5. Step 5: Solve for x
    x = 314,095,871,993,187.50/8,212,169.25
  6. Step 6: Final answer
    x = 38,247,613.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.