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Finding the Third Proportional to 313,886,578 and 516,847,082

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Solution

The third proportional to 313,886,578 and 516,847,082 is: 851,042,780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,886,578 : 516,847,082 = 516,847,082 : x
  2. Step 2: Convert to fraction form
    313,886,578/516,847,082 = 516,847,082/x
  3. Step 3: Cross multiply
    313,886,578x = 516,847,082 × 516,847,082
  4. Step 4: Simplify right side
    313,886,578x = 267,130,906,171,914,720
  5. Step 5: Solve for x
    x = 267,130,906,171,914,720/313,886,578
  6. Step 6: Final answer
    x = 851,042,780.72

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.