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Finding the Third Proportional to 31,954,630,599 and 69,471,295,659

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Solution

The third proportional to 31,954,630,599 and 69,471,295,659 is: 151,034,789,952.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,954,630,599 : 69,471,295,659 = 69,471,295,659 : x
  2. Step 2: Convert to fraction form
    31,954,630,599/69,471,295,659 = 69,471,295,659/x
  3. Step 3: Cross multiply
    31,954,630,599x = 69,471,295,659 × 69,471,295,659
  4. Step 4: Simplify right side
    31,954,630,599x = 4,826,260,920,540,192,571,392
  5. Step 5: Solve for x
    x = 4,826,260,920,540,192,571,392/31,954,630,599
  6. Step 6: Final answer
    x = 151,034,789,952.83

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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.