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Finding the Third Proportional to 29,596,497,032 and 69,060,879,568

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Solution

The third proportional to 29,596,497,032 and 69,060,879,568 is: 161,147,621,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,596,497,032 : 69,060,879,568 = 69,060,879,568 : x
  2. Step 2: Convert to fraction form
    29,596,497,032/69,060,879,568 = 69,060,879,568/x
  3. Step 3: Cross multiply
    29,596,497,032x = 69,060,879,568 × 69,060,879,568
  4. Step 4: Simplify right side
    29,596,497,032x = 4,769,405,086,705,799,659,520
  5. Step 5: Solve for x
    x = 4,769,405,086,705,799,659,520/29,596,497,032
  6. Step 6: Final answer
    x = 161,147,621,002.21

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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.