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Finding the Third Proportional to 4,042,009 and 8,613,150.50

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Solution

The third proportional to 4,042,009 and 8,613,150.50 is: 18,353,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042,009 : 8,613,150.50 = 8,613,150.50 : x
  2. Step 2: Convert to fraction form
    4,042,009/8,613,150.50 = 8,613,150.50/x
  3. Step 3: Cross multiply
    4,042,009x = 8,613,150.50 × 8,613,150.50
  4. Step 4: Simplify right side
    4,042,009x = 74,186,361,535,650.25
  5. Step 5: Solve for x
    x = 74,186,361,535,650.25/4,042,009
  6. Step 6: Final answer
    x = 18,353,833.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.