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Finding the Third Proportional to 6,358,162 and 13,391,742

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Solution

The third proportional to 6,358,162 and 13,391,742 is: 28,206,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358,162 : 13,391,742 = 13,391,742 : x
  2. Step 2: Convert to fraction form
    6,358,162/13,391,742 = 13,391,742/x
  3. Step 3: Cross multiply
    6,358,162x = 13,391,742 × 13,391,742
  4. Step 4: Simplify right side
    6,358,162x = 179,338,753,794,564
  5. Step 5: Solve for x
    x = 179,338,753,794,564/6,358,162
  6. Step 6: Final answer
    x = 28,206,068.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.