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Finding the Third Proportional to 32,953,086 and 68,917,662

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Solution

The third proportional to 32,953,086 and 68,917,662 is: 144,133,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,953,086 : 68,917,662 = 68,917,662 : x
  2. Step 2: Convert to fraction form
    32,953,086/68,917,662 = 68,917,662/x
  3. Step 3: Cross multiply
    32,953,086x = 68,917,662 × 68,917,662
  4. Step 4: Simplify right side
    32,953,086x = 4,749,644,135,546,244
  5. Step 5: Solve for x
    x = 4,749,644,135,546,244/32,953,086
  6. Step 6: Final answer
    x = 144,133,515.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.