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Finding the Third Proportional to 3,782,729.81 and 8,208,464.63

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Solution

The third proportional to 3,782,729.81 and 8,208,464.63 is: 17,812,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,729.81 : 8,208,464.63 = 8,208,464.63 : x
  2. Step 2: Convert to fraction form
    3,782,729.81/8,208,464.63 = 8,208,464.63/x
  3. Step 3: Cross multiply
    3,782,729.81x = 8,208,464.63 × 8,208,464.63
  4. Step 4: Simplify right side
    3,782,729.81x = 67,378,891,499,876.39
  5. Step 5: Solve for x
    x = 67,378,891,499,876.39/3,782,729.81
  6. Step 6: Final answer
    x = 17,812,240.06

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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.