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Finding the Third Proportional to 6,799,942 and 14,796,164

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Solution

The third proportional to 6,799,942 and 14,796,164 is: 32,195,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799,942 : 14,796,164 = 14,796,164 : x
  2. Step 2: Convert to fraction form
    6,799,942/14,796,164 = 14,796,164/x
  3. Step 3: Cross multiply
    6,799,942x = 14,796,164 × 14,796,164
  4. Step 4: Simplify right side
    6,799,942x = 218,926,469,114,896
  5. Step 5: Solve for x
    x = 218,926,469,114,896/6,799,942
  6. Step 6: Final answer
    x = 32,195,343.59

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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.