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Finding the Third Proportional to 7,567,884 and 11,340,756

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Solution

The third proportional to 7,567,884 and 11,340,756 is: 16,994,545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567,884 : 11,340,756 = 11,340,756 : x
  2. Step 2: Convert to fraction form
    7,567,884/11,340,756 = 11,340,756/x
  3. Step 3: Cross multiply
    7,567,884x = 11,340,756 × 11,340,756
  4. Step 4: Simplify right side
    7,567,884x = 128,612,746,651,536
  5. Step 5: Solve for x
    x = 128,612,746,651,536/7,567,884
  6. Step 6: Final answer
    x = 16,994,545.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.