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Finding the Third Proportional to 5,895,814 and 12,500,198

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Solution

The third proportional to 5,895,814 and 12,500,198 is: 26,502,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895,814 : 12,500,198 = 12,500,198 : x
  2. Step 2: Convert to fraction form
    5,895,814/12,500,198 = 12,500,198/x
  3. Step 3: Cross multiply
    5,895,814x = 12,500,198 × 12,500,198
  4. Step 4: Simplify right side
    5,895,814x = 156,254,950,039,204
  5. Step 5: Solve for x
    x = 156,254,950,039,204/5,895,814
  6. Step 6: Final answer
    x = 26,502,693.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.