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Finding the Third Proportional to 32,321,016 and 69,769,818

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Solution

The third proportional to 32,321,016 and 69,769,818 is: 150,608,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,321,016 : 69,769,818 = 69,769,818 : x
  2. Step 2: Convert to fraction form
    32,321,016/69,769,818 = 69,769,818/x
  3. Step 3: Cross multiply
    32,321,016x = 69,769,818 × 69,769,818
  4. Step 4: Simplify right side
    32,321,016x = 4,867,827,503,753,124
  5. Step 5: Solve for x
    x = 4,867,827,503,753,124/32,321,016
  6. Step 6: Final answer
    x = 150,608,740.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.