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Finding the Third Proportional to 5,383,549 and 8,274,901

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Solution

The third proportional to 5,383,549 and 8,274,901 is: 12,719,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383,549 : 8,274,901 = 8,274,901 : x
  2. Step 2: Convert to fraction form
    5,383,549/8,274,901 = 8,274,901/x
  3. Step 3: Cross multiply
    5,383,549x = 8,274,901 × 8,274,901
  4. Step 4: Simplify right side
    5,383,549x = 68,473,986,559,801
  5. Step 5: Solve for x
    x = 68,473,986,559,801/5,383,549
  6. Step 6: Final answer
    x = 12,719,116.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.