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Finding the Third Proportional to 5,065,344 and 7,589,214

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Solution

The third proportional to 5,065,344 and 7,589,214 is: 11,370,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065,344 : 7,589,214 = 7,589,214 : x
  2. Step 2: Convert to fraction form
    5,065,344/7,589,214 = 7,589,214/x
  3. Step 3: Cross multiply
    5,065,344x = 7,589,214 × 7,589,214
  4. Step 4: Simplify right side
    5,065,344x = 57,596,169,137,796
  5. Step 5: Solve for x
    x = 57,596,169,137,796/5,065,344
  6. Step 6: Final answer
    x = 11,370,633.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.