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Finding the Third Proportional to 3,785,086.13 and 8,302,970.81

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Solution

The third proportional to 3,785,086.13 and 8,302,970.81 is: 18,213,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,086.13 : 8,302,970.81 = 8,302,970.81 : x
  2. Step 2: Convert to fraction form
    3,785,086.13/8,302,970.81 = 8,302,970.81/x
  3. Step 3: Cross multiply
    3,785,086.13x = 8,302,970.81 × 8,302,970.81
  4. Step 4: Simplify right side
    3,785,086.13x = 68,939,324,313,226.91
  5. Step 5: Solve for x
    x = 68,939,324,313,226.91/3,785,086.13
  6. Step 6: Final answer
    x = 18,213,409.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.