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Finding the Third Proportional to 6,584,625 and 10,133,727

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Solution

The third proportional to 6,584,625 and 10,133,727 is: 15,595,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584,625 : 10,133,727 = 10,133,727 : x
  2. Step 2: Convert to fraction form
    6,584,625/10,133,727 = 10,133,727/x
  3. Step 3: Cross multiply
    6,584,625x = 10,133,727 × 10,133,727
  4. Step 4: Simplify right side
    6,584,625x = 102,692,422,910,529
  5. Step 5: Solve for x
    x = 102,692,422,910,529/6,584,625
  6. Step 6: Final answer
    x = 15,595,789.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.