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Finding the Third Proportional to 297,961,314 and 641,460,172

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Solution

The third proportional to 297,961,314 and 641,460,172 is: 1,380,954,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,961,314 : 641,460,172 = 641,460,172 : x
  2. Step 2: Convert to fraction form
    297,961,314/641,460,172 = 641,460,172/x
  3. Step 3: Cross multiply
    297,961,314x = 641,460,172 × 641,460,172
  4. Step 4: Simplify right side
    297,961,314x = 411,471,152,262,269,568
  5. Step 5: Solve for x
    x = 411,471,152,262,269,568/297,961,314
  6. Step 6: Final answer
    x = 1,380,954,952.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.