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Finding the Third Proportional to 1,318,322,738 and 1,994,451,339

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Solution

The third proportional to 1,318,322,738 and 1,994,451,339 is: 3,017,346,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318,322,738 : 1,994,451,339 = 1,994,451,339 : x
  2. Step 2: Convert to fraction form
    1,318,322,738/1,994,451,339 = 1,994,451,339/x
  3. Step 3: Cross multiply
    1,318,322,738x = 1,994,451,339 × 1,994,451,339
  4. Step 4: Simplify right side
    1,318,322,738x = 3,977,836,143,638,893,056
  5. Step 5: Solve for x
    x = 3,977,836,143,638,893,056/1,318,322,738
  6. Step 6: Final answer
    x = 3,017,346,230.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.