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Finding the Third Proportional to 14,468,192 and 22,382,368

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Solution

The third proportional to 14,468,192 and 22,382,368 is: 34,625,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468,192 : 22,382,368 = 22,382,368 : x
  2. Step 2: Convert to fraction form
    14,468,192/22,382,368 = 22,382,368/x
  3. Step 3: Cross multiply
    14,468,192x = 22,382,368 × 22,382,368
  4. Step 4: Simplify right side
    14,468,192x = 500,970,397,287,424
  5. Step 5: Solve for x
    x = 500,970,397,287,424/14,468,192
  6. Step 6: Final answer
    x = 34,625,639.28

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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.