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Finding the Third Proportional to 7,817,742 and 11,959,110

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Solution

The third proportional to 7,817,742 and 11,959,110 is: 18,294,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817,742 : 11,959,110 = 11,959,110 : x
  2. Step 2: Convert to fraction form
    7,817,742/11,959,110 = 11,959,110/x
  3. Step 3: Cross multiply
    7,817,742x = 11,959,110 × 11,959,110
  4. Step 4: Simplify right side
    7,817,742x = 143,020,311,992,100
  5. Step 5: Solve for x
    x = 143,020,311,992,100/7,817,742
  6. Step 6: Final answer
    x = 18,294,324.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.