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Finding the Third Proportional to 3,093,264 and 6,814,656

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Solution

The third proportional to 3,093,264 and 6,814,656 is: 15,013,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093,264 : 6,814,656 = 6,814,656 : x
  2. Step 2: Convert to fraction form
    3,093,264/6,814,656 = 6,814,656/x
  3. Step 3: Cross multiply
    3,093,264x = 6,814,656 × 6,814,656
  4. Step 4: Simplify right side
    3,093,264x = 46,439,536,398,336
  5. Step 5: Solve for x
    x = 46,439,536,398,336/3,093,264
  6. Step 6: Final answer
    x = 15,013,117.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.