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Finding the Third Proportional to 3,785,138.86 and 8,303,029.03

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Solution

The third proportional to 3,785,138.86 and 8,303,029.03 is: 18,213,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,138.86 : 8,303,029.03 = 8,303,029.03 : x
  2. Step 2: Convert to fraction form
    3,785,138.86/8,303,029.03 = 8,303,029.03/x
  3. Step 3: Cross multiply
    3,785,138.86x = 8,303,029.03 × 8,303,029.03
  4. Step 4: Simplify right side
    3,785,138.86x = 68,940,291,093,780.31
  5. Step 5: Solve for x
    x = 68,940,291,093,780.31/3,785,138.86
  6. Step 6: Final answer
    x = 18,213,411.36

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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.