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Finding the Third Proportional to 683,729,252 and 1,391,621,938

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Solution

The third proportional to 683,729,252 and 1,391,621,938 is: 2,832,424,695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,729,252 : 1,391,621,938 = 1,391,621,938 : x
  2. Step 2: Convert to fraction form
    683,729,252/1,391,621,938 = 1,391,621,938/x
  3. Step 3: Cross multiply
    683,729,252x = 1,391,621,938 × 1,391,621,938
  4. Step 4: Simplify right side
    683,729,252x = 1,936,611,618,322,875,904
  5. Step 5: Solve for x
    x = 1,936,611,618,322,875,904/683,729,252
  6. Step 6: Final answer
    x = 2,832,424,695.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.