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Finding the Third Proportional to 2,099,082,145.50 and 4,859,503,843.50

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Solution

The third proportional to 2,099,082,145.50 and 4,859,503,843.50 is: 11,250,049,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,082,145.50 : 4,859,503,843.50 = 4,859,503,843.50 : x
  2. Step 2: Convert to fraction form
    2,099,082,145.50/4,859,503,843.50 = 4,859,503,843.50/x
  3. Step 3: Cross multiply
    2,099,082,145.50x = 4,859,503,843.50 × 4,859,503,843.50
  4. Step 4: Simplify right side
    2,099,082,145.50x = 23,614,777,604,991,270,912
  5. Step 5: Solve for x
    x = 23,614,777,604,991,270,912/2,099,082,145.50
  6. Step 6: Final answer
    x = 11,250,049,292.08

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.