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Finding the Third Proportional to 3,785,940 and 8,210,659.50

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Solution

The third proportional to 3,785,940 and 8,210,659.50 is: 17,806,655.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,940 : 8,210,659.50 = 8,210,659.50 : x
  2. Step 2: Convert to fraction form
    3,785,940/8,210,659.50 = 8,210,659.50/x
  3. Step 3: Cross multiply
    3,785,940x = 8,210,659.50 × 8,210,659.50
  4. Step 4: Simplify right side
    3,785,940x = 67,414,929,424,940.25
  5. Step 5: Solve for x
    x = 67,414,929,424,940.25/3,785,940
  6. Step 6: Final answer
    x = 17,806,655.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.