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Finding the Third Proportional to 1,372,269,698 and 2,120,384,204

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Solution

The third proportional to 1,372,269,698 and 2,120,384,204 is: 3,276,345,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372,269,698 : 2,120,384,204 = 2,120,384,204 : x
  2. Step 2: Convert to fraction form
    1,372,269,698/2,120,384,204 = 2,120,384,204/x
  3. Step 3: Cross multiply
    1,372,269,698x = 2,120,384,204 × 2,120,384,204
  4. Step 4: Simplify right side
    1,372,269,698x = 4,496,029,172,572,713,472
  5. Step 5: Solve for x
    x = 4,496,029,172,572,713,472/1,372,269,698
  6. Step 6: Final answer
    x = 3,276,345,152.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.