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Finding the Third Proportional to 7,882,218 and 16,979,913

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Solution

The third proportional to 7,882,218 and 16,979,913 is: 36,578,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882,218 : 16,979,913 = 16,979,913 : x
  2. Step 2: Convert to fraction form
    7,882,218/16,979,913 = 16,979,913/x
  3. Step 3: Cross multiply
    7,882,218x = 16,979,913 × 16,979,913
  4. Step 4: Simplify right side
    7,882,218x = 288,317,445,487,569
  5. Step 5: Solve for x
    x = 288,317,445,487,569/7,882,218
  6. Step 6: Final answer
    x = 36,578,212.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.