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Finding the Third Proportional to 2,099,080,626 and 4,859,500,316

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Solution

The third proportional to 2,099,080,626 and 4,859,500,316 is: 11,250,041,103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,080,626 : 4,859,500,316 = 4,859,500,316 : x
  2. Step 2: Convert to fraction form
    2,099,080,626/4,859,500,316 = 4,859,500,316/x
  3. Step 3: Cross multiply
    2,099,080,626x = 4,859,500,316 × 4,859,500,316
  4. Step 4: Simplify right side
    2,099,080,626x = 23,614,743,321,204,101,120
  5. Step 5: Solve for x
    x = 23,614,743,321,204,101,120/2,099,080,626
  6. Step 6: Final answer
    x = 11,250,041,103.09

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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.