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Finding the Third Proportional to 8,169,474 and 19,257,364

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Solution

The third proportional to 8,169,474 and 19,257,364 is: 45,394,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169,474 : 19,257,364 = 19,257,364 : x
  2. Step 2: Convert to fraction form
    8,169,474/19,257,364 = 19,257,364/x
  3. Step 3: Cross multiply
    8,169,474x = 19,257,364 × 19,257,364
  4. Step 4: Simplify right side
    8,169,474x = 370,846,068,228,496
  5. Step 5: Solve for x
    x = 370,846,068,228,496/8,169,474
  6. Step 6: Final answer
    x = 45,394,118.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.