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Finding the Third Proportional to 7,198,767 and 15,206,886

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Solution

The third proportional to 7,198,767 and 15,206,886 is: 32,123,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198,767 : 15,206,886 = 15,206,886 : x
  2. Step 2: Convert to fraction form
    7,198,767/15,206,886 = 15,206,886/x
  3. Step 3: Cross multiply
    7,198,767x = 15,206,886 × 15,206,886
  4. Step 4: Simplify right side
    7,198,767x = 231,249,381,816,996
  5. Step 5: Solve for x
    x = 231,249,381,816,996/7,198,767
  6. Step 6: Final answer
    x = 32,123,470.84

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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.