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Finding the Third Proportional to 1,847,892,548 and 3,848,643,274

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Solution

The third proportional to 1,847,892,548 and 3,848,643,274 is: 8,015,647,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847,892,548 : 3,848,643,274 = 3,848,643,274 : x
  2. Step 2: Convert to fraction form
    1,847,892,548/3,848,643,274 = 3,848,643,274/x
  3. Step 3: Cross multiply
    1,847,892,548x = 3,848,643,274 × 3,848,643,274
  4. Step 4: Simplify right side
    1,847,892,548x = 14,812,055,050,505,439,232
  5. Step 5: Solve for x
    x = 14,812,055,050,505,439,232/1,847,892,548
  6. Step 6: Final answer
    x = 8,015,647,374.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.