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Finding the Third Proportional to 487,244,667 and 799,865,824.50

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Solution

The third proportional to 487,244,667 and 799,865,824.50 is: 1,313,067,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,244,667 : 799,865,824.50 = 799,865,824.50 : x
  2. Step 2: Convert to fraction form
    487,244,667/799,865,824.50 = 799,865,824.50/x
  3. Step 3: Cross multiply
    487,244,667x = 799,865,824.50 × 799,865,824.50
  4. Step 4: Simplify right side
    487,244,667x = 639,785,337,203,064,832
  5. Step 5: Solve for x
    x = 639,785,337,203,064,832/487,244,667
  6. Step 6: Final answer
    x = 1,313,067,911.33

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.