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Finding the Third Proportional to 6,818,695 and 14,700,109

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Solution

The third proportional to 6,818,695 and 14,700,109 is: 31,691,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818,695 : 14,700,109 = 14,700,109 : x
  2. Step 2: Convert to fraction form
    6,818,695/14,700,109 = 14,700,109/x
  3. Step 3: Cross multiply
    6,818,695x = 14,700,109 × 14,700,109
  4. Step 4: Simplify right side
    6,818,695x = 216,093,204,611,881
  5. Step 5: Solve for x
    x = 216,093,204,611,881/6,818,695
  6. Step 6: Final answer
    x = 31,691,284.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.