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Finding the Third Proportional to 44,016,297,504 and 96,679,715,232

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Solution

The third proportional to 44,016,297,504 and 96,679,715,232 is: 212,352,420,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,016,297,504 : 96,679,715,232 = 96,679,715,232 : x
  2. Step 2: Convert to fraction form
    44,016,297,504/96,679,715,232 = 96,679,715,232/x
  3. Step 3: Cross multiply
    44,016,297,504x = 96,679,715,232 × 96,679,715,232
  4. Step 4: Simplify right side
    44,016,297,504x = 9,346,967,337,340,613,165,056
  5. Step 5: Solve for x
    x = 9,346,967,337,340,613,165,056/44,016,297,504
  6. Step 6: Final answer
    x = 212,352,420,975.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.