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Finding the Third Proportional to 3,818,101.50 and 8,233,664.63

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Solution

The third proportional to 3,818,101.50 and 8,233,664.63 is: 17,755,744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818,101.50 : 8,233,664.63 = 8,233,664.63 : x
  2. Step 2: Convert to fraction form
    3,818,101.50/8,233,664.63 = 8,233,664.63/x
  3. Step 3: Cross multiply
    3,818,101.50x = 8,233,664.63 × 8,233,664.63
  4. Step 4: Simplify right side
    3,818,101.50x = 67,793,233,156,976.39
  5. Step 5: Solve for x
    x = 67,793,233,156,976.39/3,818,101.50
  6. Step 6: Final answer
    x = 17,755,744.09

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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.