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Finding the Third Proportional to 3,661,932.80 and 7,828,343.72

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Solution

The third proportional to 3,661,932.80 and 7,828,343.72 is: 16,735,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661,932.80 : 7,828,343.72 = 7,828,343.72 : x
  2. Step 2: Convert to fraction form
    3,661,932.80/7,828,343.72 = 7,828,343.72/x
  3. Step 3: Cross multiply
    3,661,932.80x = 7,828,343.72 × 7,828,343.72
  4. Step 4: Simplify right side
    3,661,932.80x = 61,282,965,378,892.58
  5. Step 5: Solve for x
    x = 61,282,965,378,892.58/3,661,932.80
  6. Step 6: Final answer
    x = 16,735,142.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.