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Finding the Third Proportional to 5,986,913 and 9,216,584

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Solution

The third proportional to 5,986,913 and 9,216,584 is: 14,188,517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986,913 : 9,216,584 = 9,216,584 : x
  2. Step 2: Convert to fraction form
    5,986,913/9,216,584 = 9,216,584/x
  3. Step 3: Cross multiply
    5,986,913x = 9,216,584 × 9,216,584
  4. Step 4: Simplify right side
    5,986,913x = 84,945,420,629,056
  5. Step 5: Solve for x
    x = 84,945,420,629,056/5,986,913
  6. Step 6: Final answer
    x = 14,188,517.63

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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.