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Finding the Third Proportional to 3,836,514 and 8,403,972

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Solution

The third proportional to 3,836,514 and 8,403,972 is: 18,409,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836,514 : 8,403,972 = 8,403,972 : x
  2. Step 2: Convert to fraction form
    3,836,514/8,403,972 = 8,403,972/x
  3. Step 3: Cross multiply
    3,836,514x = 8,403,972 × 8,403,972
  4. Step 4: Simplify right side
    3,836,514x = 70,626,745,376,784
  5. Step 5: Solve for x
    x = 70,626,745,376,784/3,836,514
  6. Step 6: Final answer
    x = 18,409,093.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.