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Finding the Third Proportional to 277,593,918 and 431,216,211

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Solution

The third proportional to 277,593,918 and 431,216,211 is: 669,854,087.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,593,918 : 431,216,211 = 431,216,211 : x
  2. Step 2: Convert to fraction form
    277,593,918/431,216,211 = 431,216,211/x
  3. Step 3: Cross multiply
    277,593,918x = 431,216,211 × 431,216,211
  4. Step 4: Simplify right side
    277,593,918x = 185,947,420,629,196,512
  5. Step 5: Solve for x
    x = 185,947,420,629,196,512/277,593,918
  6. Step 6: Final answer
    x = 669,854,087.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.