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Finding the Third Proportional to 2,955,348 and 6,382,223

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Solution

The third proportional to 2,955,348 and 6,382,223 is: 13,782,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955,348 : 6,382,223 = 6,382,223 : x
  2. Step 2: Convert to fraction form
    2,955,348/6,382,223 = 6,382,223/x
  3. Step 3: Cross multiply
    2,955,348x = 6,382,223 × 6,382,223
  4. Step 4: Simplify right side
    2,955,348x = 40,732,770,421,729
  5. Step 5: Solve for x
    x = 40,732,770,421,729/2,955,348
  6. Step 6: Final answer
    x = 13,782,732.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.