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Finding the Third Proportional to 6,182,354 and 13,393,814

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Solution

The third proportional to 6,182,354 and 13,393,814 is: 29,017,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182,354 : 13,393,814 = 13,393,814 : x
  2. Step 2: Convert to fraction form
    6,182,354/13,393,814 = 13,393,814/x
  3. Step 3: Cross multiply
    6,182,354x = 13,393,814 × 13,393,814
  4. Step 4: Simplify right side
    6,182,354x = 179,394,253,466,596
  5. Step 5: Solve for x
    x = 179,394,253,466,596/6,182,354
  6. Step 6: Final answer
    x = 29,017,143.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.