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Finding the Third Proportional to 76,867,984,608 and 165,530,606,016

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Solution

The third proportional to 76,867,984,608 and 165,530,606,016 is: 356,460,256,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,867,984,608 : 165,530,606,016 = 165,530,606,016 : x
  2. Step 2: Convert to fraction form
    76,867,984,608/165,530,606,016 = 165,530,606,016/x
  3. Step 3: Cross multiply
    76,867,984,608x = 165,530,606,016 × 165,530,606,016
  4. Step 4: Simplify right side
    76,867,984,608x = 27,400,381,528,024,213,880,832
  5. Step 5: Solve for x
    x = 27,400,381,528,024,213,880,832/76,867,984,608
  6. Step 6: Final answer
    x = 356,460,256,734.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.