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Finding the Third Proportional to 3,306,853 and 7,086,098

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Solution

The third proportional to 3,306,853 and 7,086,098 is: 15,184,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306,853 : 7,086,098 = 7,086,098 : x
  2. Step 2: Convert to fraction form
    3,306,853/7,086,098 = 7,086,098/x
  3. Step 3: Cross multiply
    3,306,853x = 7,086,098 × 7,086,098
  4. Step 4: Simplify right side
    3,306,853x = 50,212,784,865,604
  5. Step 5: Solve for x
    x = 50,212,784,865,604/3,306,853
  6. Step 6: Final answer
    x = 15,184,462.35

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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.