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Finding the Third Proportional to 1,134,476,019 and 2,467,724,094

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Solution

The third proportional to 1,134,476,019 and 2,467,724,094 is: 5,367,819,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134,476,019 : 2,467,724,094 = 2,467,724,094 : x
  2. Step 2: Convert to fraction form
    1,134,476,019/2,467,724,094 = 2,467,724,094/x
  3. Step 3: Cross multiply
    1,134,476,019x = 2,467,724,094 × 2,467,724,094
  4. Step 4: Simplify right side
    1,134,476,019x = 6,089,662,204,108,121,088
  5. Step 5: Solve for x
    x = 6,089,662,204,108,121,088/1,134,476,019
  6. Step 6: Final answer
    x = 5,367,819,241.76

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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.