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Finding the Third Proportional to 1,244,082,920 and 2,672,791,105

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Solution

The third proportional to 1,244,082,920 and 2,672,791,105 is: 5,742,231,627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244,082,920 : 2,672,791,105 = 2,672,791,105 : x
  2. Step 2: Convert to fraction form
    1,244,082,920/2,672,791,105 = 2,672,791,105/x
  3. Step 3: Cross multiply
    1,244,082,920x = 2,672,791,105 × 2,672,791,105
  4. Step 4: Simplify right side
    1,244,082,920x = 7,143,812,290,967,120,896
  5. Step 5: Solve for x
    x = 7,143,812,290,967,120,896/1,244,082,920
  6. Step 6: Final answer
    x = 5,742,231,627.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.