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Finding the Third Proportional to 2,665,289.25 and 5,756,137.88

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Solution

The third proportional to 2,665,289.25 and 5,756,137.88 is: 12,431,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,289.25 : 5,756,137.88 = 5,756,137.88 : x
  2. Step 2: Convert to fraction form
    2,665,289.25/5,756,137.88 = 5,756,137.88/x
  3. Step 3: Cross multiply
    2,665,289.25x = 5,756,137.88 × 5,756,137.88
  4. Step 4: Simplify right side
    2,665,289.25x = 33,133,123,236,009.52
  5. Step 5: Solve for x
    x = 33,133,123,236,009.52/2,665,289.25
  6. Step 6: Final answer
    x = 12,431,342.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.