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Finding the Third Proportional to 739,840,410 and 1,609,922,016

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Solution

The third proportional to 739,840,410 and 1,609,922,016 is: 3,503,254,029.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,840,410 : 1,609,922,016 = 1,609,922,016 : x
  2. Step 2: Convert to fraction form
    739,840,410/1,609,922,016 = 1,609,922,016/x
  3. Step 3: Cross multiply
    739,840,410x = 1,609,922,016 × 1,609,922,016
  4. Step 4: Simplify right side
    739,840,410x = 2,591,848,897,601,504,256
  5. Step 5: Solve for x
    x = 2,591,848,897,601,504,256/739,840,410
  6. Step 6: Final answer
    x = 3,503,254,029.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.