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Finding the Third Proportional to 6,182,136 and 13,278,384

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Solution

The third proportional to 6,182,136 and 13,278,384 is: 28,520,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182,136 : 13,278,384 = 13,278,384 : x
  2. Step 2: Convert to fraction form
    6,182,136/13,278,384 = 13,278,384/x
  3. Step 3: Cross multiply
    6,182,136x = 13,278,384 × 13,278,384
  4. Step 4: Simplify right side
    6,182,136x = 176,315,481,651,456
  5. Step 5: Solve for x
    x = 176,315,481,651,456/6,182,136
  6. Step 6: Final answer
    x = 28,520,155.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.