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Finding the Third Proportional to 3,425,286.23 and 7,133,950.34

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Solution

The third proportional to 3,425,286.23 and 7,133,950.34 is: 14,858,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425,286.23 : 7,133,950.34 = 7,133,950.34 : x
  2. Step 2: Convert to fraction form
    3,425,286.23/7,133,950.34 = 7,133,950.34/x
  3. Step 3: Cross multiply
    3,425,286.23x = 7,133,950.34 × 7,133,950.34
  4. Step 4: Simplify right side
    3,425,286.23x = 50,893,247,395,622.77
  5. Step 5: Solve for x
    x = 50,893,247,395,622.77/3,425,286.23
  6. Step 6: Final answer
    x = 14,858,100.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.