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Finding the Third Proportional to 13,285,235.25 and 19,858,689

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Solution

The third proportional to 13,285,235.25 and 19,858,689 is: 29,684,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285,235.25 : 19,858,689 = 19,858,689 : x
  2. Step 2: Convert to fraction form
    13,285,235.25/19,858,689 = 19,858,689/x
  3. Step 3: Cross multiply
    13,285,235.25x = 19,858,689 × 19,858,689
  4. Step 4: Simplify right side
    13,285,235.25x = 394,367,528,798,721
  5. Step 5: Solve for x
    x = 394,367,528,798,721/13,285,235.25
  6. Step 6: Final answer
    x = 29,684,647.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.