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Finding the Third Proportional to 8,199,969,129 and 12,246,219,923

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Solution

The third proportional to 8,199,969,129 and 12,246,219,923 is: 18,289,081,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199,969,129 : 12,246,219,923 = 12,246,219,923 : x
  2. Step 2: Convert to fraction form
    8,199,969,129/12,246,219,923 = 12,246,219,923/x
  3. Step 3: Cross multiply
    8,199,969,129x = 12,246,219,923 × 12,246,219,923
  4. Step 4: Simplify right side
    8,199,969,129x = 149,969,902,402,482,110,464
  5. Step 5: Solve for x
    x = 149,969,902,402,482,110,464/8,199,969,129
  6. Step 6: Final answer
    x = 18,289,081,342.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.