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Finding the Third Proportional to 14,468,162 and 22,382,323

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Solution

The third proportional to 14,468,162 and 22,382,323 is: 34,625,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468,162 : 22,382,323 = 22,382,323 : x
  2. Step 2: Convert to fraction form
    14,468,162/22,382,323 = 22,382,323/x
  3. Step 3: Cross multiply
    14,468,162x = 22,382,323 × 22,382,323
  4. Step 4: Simplify right side
    14,468,162x = 500,968,382,876,329
  5. Step 5: Solve for x
    x = 500,968,382,876,329/14,468,162
  6. Step 6: Final answer
    x = 34,625,571.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.