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Finding the Third Proportional to 3,785,976 and 8,210,736

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Solution

The third proportional to 3,785,976 and 8,210,736 is: 17,806,818.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,976 : 8,210,736 = 8,210,736 : x
  2. Step 2: Convert to fraction form
    3,785,976/8,210,736 = 8,210,736/x
  3. Step 3: Cross multiply
    3,785,976x = 8,210,736 × 8,210,736
  4. Step 4: Simplify right side
    3,785,976x = 67,416,185,661,696
  5. Step 5: Solve for x
    x = 67,416,185,661,696/3,785,976
  6. Step 6: Final answer
    x = 17,806,818.02

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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.