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Finding the Third Proportional to 6,799,946 and 14,796,172

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Solution

The third proportional to 6,799,946 and 14,796,172 is: 32,195,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799,946 : 14,796,172 = 14,796,172 : x
  2. Step 2: Convert to fraction form
    6,799,946/14,796,172 = 14,796,172/x
  3. Step 3: Cross multiply
    6,799,946x = 14,796,172 × 14,796,172
  4. Step 4: Simplify right side
    6,799,946x = 218,926,705,853,584
  5. Step 5: Solve for x
    x = 218,926,705,853,584/6,799,946
  6. Step 6: Final answer
    x = 32,195,359.47

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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.