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Finding the Third Proportional to 2,099,080,647 and 4,859,500,369.50

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Solution

The third proportional to 2,099,080,647 and 4,859,500,369.50 is: 11,250,041,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,080,647 : 4,859,500,369.50 = 4,859,500,369.50 : x
  2. Step 2: Convert to fraction form
    2,099,080,647/4,859,500,369.50 = 4,859,500,369.50/x
  3. Step 3: Cross multiply
    2,099,080,647x = 4,859,500,369.50 × 4,859,500,369.50
  4. Step 4: Simplify right side
    2,099,080,647x = 23,614,743,841,170,636,800
  5. Step 5: Solve for x
    x = 23,614,743,841,170,636,800/2,099,080,647
  6. Step 6: Final answer
    x = 11,250,041,238.25

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Why These Related Problems?

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