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Finding the Third Proportional to 1,000,494,592 and 2,204,536,640

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Solution

The third proportional to 1,000,494,592 and 2,204,536,640 is: 4,857,579,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,494,592 : 2,204,536,640 = 2,204,536,640 : x
  2. Step 2: Convert to fraction form
    1,000,494,592/2,204,536,640 = 2,204,536,640/x
  3. Step 3: Cross multiply
    1,000,494,592x = 2,204,536,640 × 2,204,536,640
  4. Step 4: Simplify right side
    1,000,494,592x = 4,859,981,797,102,489,600
  5. Step 5: Solve for x
    x = 4,859,981,797,102,489,600/1,000,494,592
  6. Step 6: Final answer
    x = 4,857,579,277.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.