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Finding the Third Proportional to 6,481,782 and 14,159,496

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Solution

The third proportional to 6,481,782 and 14,159,496 is: 30,931,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481,782 : 14,159,496 = 14,159,496 : x
  2. Step 2: Convert to fraction form
    6,481,782/14,159,496 = 14,159,496/x
  3. Step 3: Cross multiply
    6,481,782x = 14,159,496 × 14,159,496
  4. Step 4: Simplify right side
    6,481,782x = 200,491,326,974,016
  5. Step 5: Solve for x
    x = 200,491,326,974,016/6,481,782
  6. Step 6: Final answer
    x = 30,931,513.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.