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Finding the Third Proportional to 6,195,016 and 13,286,823

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Solution

The third proportional to 6,195,016 and 13,286,823 is: 28,497,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195,016 : 13,286,823 = 13,286,823 : x
  2. Step 2: Convert to fraction form
    6,195,016/13,286,823 = 13,286,823/x
  3. Step 3: Cross multiply
    6,195,016x = 13,286,823 × 13,286,823
  4. Step 4: Simplify right side
    6,195,016x = 176,539,665,433,329
  5. Step 5: Solve for x
    x = 176,539,665,433,329/6,195,016
  6. Step 6: Final answer
    x = 28,497,047.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.