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Finding the Third Proportional to 8,517,159 and 18,471,784.50

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Solution

The third proportional to 8,517,159 and 18,471,784.50 is: 40,061,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517,159 : 18,471,784.50 = 18,471,784.50 : x
  2. Step 2: Convert to fraction form
    8,517,159/18,471,784.50 = 18,471,784.50/x
  3. Step 3: Cross multiply
    8,517,159x = 18,471,784.50 × 18,471,784.50
  4. Step 4: Simplify right side
    8,517,159x = 341,206,822,614,440.25
  5. Step 5: Solve for x
    x = 341,206,822,614,440.25/8,517,159
  6. Step 6: Final answer
    x = 40,061,107.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.