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Finding the Third Proportional to 3,296,916 and 6,948,072

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Solution

The third proportional to 3,296,916 and 6,948,072 is: 14,642,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296,916 : 6,948,072 = 6,948,072 : x
  2. Step 2: Convert to fraction form
    3,296,916/6,948,072 = 6,948,072/x
  3. Step 3: Cross multiply
    3,296,916x = 6,948,072 × 6,948,072
  4. Step 4: Simplify right side
    3,296,916x = 48,275,704,517,184
  5. Step 5: Solve for x
    x = 48,275,704,517,184/3,296,916
  6. Step 6: Final answer
    x = 14,642,685.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.