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Finding the Third Proportional to 59,507,173,762 and 129,474,278,626

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Solution

The third proportional to 59,507,173,762 and 129,474,278,626 is: 281,707,023,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,507,173,762 : 129,474,278,626 = 129,474,278,626 : x
  2. Step 2: Convert to fraction form
    59,507,173,762/129,474,278,626 = 129,474,278,626/x
  3. Step 3: Cross multiply
    59,507,173,762x = 129,474,278,626 × 129,474,278,626
  4. Step 4: Simplify right side
    59,507,173,762x = 16,763,588,825,723,080,540,160
  5. Step 5: Solve for x
    x = 16,763,588,825,723,080,540,160/59,507,173,762
  6. Step 6: Final answer
    x = 281,707,023,976.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.