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Finding the Third Proportional to 7,995,743,265,822 and 12,180,961,786,800

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Solution

The third proportional to 7,995,743,265,822 and 12,180,961,786,800 is: 18,556,852,705,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,995,743,265,822 : 12,180,961,786,800 = 12,180,961,786,800 : x
  2. Step 2: Convert to fraction form
    7,995,743,265,822/12,180,961,786,800 = 12,180,961,786,800/x
  3. Step 3: Cross multiply
    7,995,743,265,822x = 12,180,961,786,800 × 12,180,961,786,800
  4. Step 4: Simplify right side
    7,995,743,265,822x = 148,375,830,051,481,853,553,016,832
  5. Step 5: Solve for x
    x = 148,375,830,051,481,853,553,016,832/7,995,743,265,822
  6. Step 6: Final answer
    x = 18,556,852,705,078.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.