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Finding the Third Proportional to 2,245,815,030 and 5,008,015,716

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Solution

The third proportional to 2,245,815,030 and 5,008,015,716 is: 11,167,536,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245,815,030 : 5,008,015,716 = 5,008,015,716 : x
  2. Step 2: Convert to fraction form
    2,245,815,030/5,008,015,716 = 5,008,015,716/x
  3. Step 3: Cross multiply
    2,245,815,030x = 5,008,015,716 × 5,008,015,716
  4. Step 4: Simplify right side
    2,245,815,030x = 25,080,221,411,702,992,896
  5. Step 5: Solve for x
    x = 25,080,221,411,702,992,896/2,245,815,030
  6. Step 6: Final answer
    x = 11,167,536,540.93

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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.