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Finding the Third Proportional to 361,211,912 and 791,432,422

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Solution

The third proportional to 361,211,912 and 791,432,422 is: 1,734,065,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,211,912 : 791,432,422 = 791,432,422 : x
  2. Step 2: Convert to fraction form
    361,211,912/791,432,422 = 791,432,422/x
  3. Step 3: Cross multiply
    361,211,912x = 791,432,422 × 791,432,422
  4. Step 4: Simplify right side
    361,211,912x = 626,365,278,592,786,048
  5. Step 5: Solve for x
    x = 626,365,278,592,786,048/361,211,912
  6. Step 6: Final answer
    x = 1,734,065,953.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.