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Finding the Third Proportional to 2,245,815,024 and 5,008,015,704

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Solution

The third proportional to 2,245,815,024 and 5,008,015,704 is: 11,167,536,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245,815,024 : 5,008,015,704 = 5,008,015,704 : x
  2. Step 2: Convert to fraction form
    2,245,815,024/5,008,015,704 = 5,008,015,704/x
  3. Step 3: Cross multiply
    2,245,815,024x = 5,008,015,704 × 5,008,015,704
  4. Step 4: Simplify right side
    2,245,815,024x = 25,080,221,291,510,616,064
  5. Step 5: Solve for x
    x = 25,080,221,291,510,616,064/2,245,815,024
  6. Step 6: Final answer
    x = 11,167,536,517.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.