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Finding the Third Proportional to 4,211,646 and 6,663,195

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Solution

The third proportional to 4,211,646 and 6,663,195 is: 10,541,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,646 : 6,663,195 = 6,663,195 : x
  2. Step 2: Convert to fraction form
    4,211,646/6,663,195 = 6,663,195/x
  3. Step 3: Cross multiply
    4,211,646x = 6,663,195 × 6,663,195
  4. Step 4: Simplify right side
    4,211,646x = 44,398,167,608,025
  5. Step 5: Solve for x
    x = 44,398,167,608,025/4,211,646
  6. Step 6: Final answer
    x = 10,541,761.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.