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Finding the Third Proportional to 2,245,815,036 and 5,008,015,728

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Solution

The third proportional to 2,245,815,036 and 5,008,015,728 is: 11,167,536,564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245,815,036 : 5,008,015,728 = 5,008,015,728 : x
  2. Step 2: Convert to fraction form
    2,245,815,036/5,008,015,728 = 5,008,015,728/x
  3. Step 3: Cross multiply
    2,245,815,036x = 5,008,015,728 × 5,008,015,728
  4. Step 4: Simplify right side
    2,245,815,036x = 25,080,221,531,895,369,728
  5. Step 5: Solve for x
    x = 25,080,221,531,895,369,728/2,245,815,036
  6. Step 6: Final answer
    x = 11,167,536,564.62

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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.