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Finding the Third Proportional to 287,105,824 and 629,795,956

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Solution

The third proportional to 287,105,824 and 629,795,956 is: 1,381,521,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,105,824 : 629,795,956 = 629,795,956 : x
  2. Step 2: Convert to fraction form
    287,105,824/629,795,956 = 629,795,956/x
  3. Step 3: Cross multiply
    287,105,824x = 629,795,956 × 629,795,956
  4. Step 4: Simplify right side
    287,105,824x = 396,642,946,193,953,920
  5. Step 5: Solve for x
    x = 396,642,946,193,953,920/287,105,824
  6. Step 6: Final answer
    x = 1,381,521,770.15

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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.