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Finding the Third Proportional to 318,382,794 and 685,474,452

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Solution

The third proportional to 318,382,794 and 685,474,452 is: 1,475,818,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,382,794 : 685,474,452 = 685,474,452 : x
  2. Step 2: Convert to fraction form
    318,382,794/685,474,452 = 685,474,452/x
  3. Step 3: Cross multiply
    318,382,794x = 685,474,452 × 685,474,452
  4. Step 4: Simplify right side
    318,382,794x = 469,875,224,344,700,288
  5. Step 5: Solve for x
    x = 469,875,224,344,700,288/318,382,794
  6. Step 6: Final answer
    x = 1,475,818,521.60

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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.