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Finding the Third Proportional to 14,412,403 and 31,484,198

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Solution

The third proportional to 14,412,403 and 31,484,198 is: 68,777,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412,403 : 31,484,198 = 31,484,198 : x
  2. Step 2: Convert to fraction form
    14,412,403/31,484,198 = 31,484,198/x
  3. Step 3: Cross multiply
    14,412,403x = 31,484,198 × 31,484,198
  4. Step 4: Simplify right side
    14,412,403x = 991,254,723,703,204
  5. Step 5: Solve for x
    x = 991,254,723,703,204/14,412,403
  6. Step 6: Final answer
    x = 68,777,893.85

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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.