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Finding the Third Proportional to 3,386,144 and 7,231,514

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Solution

The third proportional to 3,386,144 and 7,231,514 is: 15,443,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386,144 : 7,231,514 = 7,231,514 : x
  2. Step 2: Convert to fraction form
    3,386,144/7,231,514 = 7,231,514/x
  3. Step 3: Cross multiply
    3,386,144x = 7,231,514 × 7,231,514
  4. Step 4: Simplify right side
    3,386,144x = 52,294,794,732,196
  5. Step 5: Solve for x
    x = 52,294,794,732,196/3,386,144
  6. Step 6: Final answer
    x = 15,443,759.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.