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Finding the Third Proportional to 29,596,497,022 and 69,060,879,542.50

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Solution

The third proportional to 29,596,497,022 and 69,060,879,542.50 is: 161,147,620,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,596,497,022 : 69,060,879,542.50 = 69,060,879,542.50 : x
  2. Step 2: Convert to fraction form
    29,596,497,022/69,060,879,542.50 = 69,060,879,542.50/x
  3. Step 3: Cross multiply
    29,596,497,022x = 69,060,879,542.50 × 69,060,879,542.50
  4. Step 4: Simplify right side
    29,596,497,022x = 4,769,405,083,183,694,741,504
  5. Step 5: Solve for x
    x = 4,769,405,083,183,694,741,504/29,596,497,022
  6. Step 6: Final answer
    x = 161,147,620,937.66

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.