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Finding the Third Proportional to 3,677,732.50 and 5,709,055

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Solution

The third proportional to 3,677,732.50 and 5,709,055 is: 8,862,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677,732.50 : 5,709,055 = 5,709,055 : x
  2. Step 2: Convert to fraction form
    3,677,732.50/5,709,055 = 5,709,055/x
  3. Step 3: Cross multiply
    3,677,732.50x = 5,709,055 × 5,709,055
  4. Step 4: Simplify right side
    3,677,732.50x = 32,593,308,993,025
  5. Step 5: Solve for x
    x = 32,593,308,993,025/3,677,732.50
  6. Step 6: Final answer
    x = 8,862,338.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.