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Finding the Third Proportional to 3,481,894.50 and 8,192,750.25

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Solution

The third proportional to 3,481,894.50 and 8,192,750.25 is: 19,277,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481,894.50 : 8,192,750.25 = 8,192,750.25 : x
  2. Step 2: Convert to fraction form
    3,481,894.50/8,192,750.25 = 8,192,750.25/x
  3. Step 3: Cross multiply
    3,481,894.50x = 8,192,750.25 × 8,192,750.25
  4. Step 4: Simplify right side
    3,481,894.50x = 67,121,156,658,875.06
  5. Step 5: Solve for x
    x = 67,121,156,658,875.06/3,481,894.50
  6. Step 6: Final answer
    x = 19,277,194.26

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.