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Finding the Third Proportional to 693,436,240 and 1,444,268,000

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Solution

The third proportional to 693,436,240 and 1,444,268,000 is: 3,008,077,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,436,240 : 1,444,268,000 = 1,444,268,000 : x
  2. Step 2: Convert to fraction form
    693,436,240/1,444,268,000 = 1,444,268,000/x
  3. Step 3: Cross multiply
    693,436,240x = 1,444,268,000 × 1,444,268,000
  4. Step 4: Simplify right side
    693,436,240x = 2,085,910,055,824,000,000
  5. Step 5: Solve for x
    x = 2,085,910,055,824,000,000/693,436,240
  6. Step 6: Final answer
    x = 3,008,077,650.84

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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.