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Finding the Third Proportional to 174,977,744 and 382,910,172

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Solution

The third proportional to 174,977,744 and 382,910,172 is: 837,936,279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,977,744 : 382,910,172 = 382,910,172 : x
  2. Step 2: Convert to fraction form
    174,977,744/382,910,172 = 382,910,172/x
  3. Step 3: Cross multiply
    174,977,744x = 382,910,172 × 382,910,172
  4. Step 4: Simplify right side
    174,977,744x = 146,620,199,821,069,568
  5. Step 5: Solve for x
    x = 146,620,199,821,069,568/174,977,744
  6. Step 6: Final answer
    x = 837,936,279.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.