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Finding the Third Proportional to 1,122,902,892 and 2,503,997,172

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Solution

The third proportional to 1,122,902,892 and 2,503,997,172 is: 5,583,743,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122,902,892 : 2,503,997,172 = 2,503,997,172 : x
  2. Step 2: Convert to fraction form
    1,122,902,892/2,503,997,172 = 2,503,997,172/x
  3. Step 3: Cross multiply
    1,122,902,892x = 2,503,997,172 × 2,503,997,172
  4. Step 4: Simplify right side
    1,122,902,892x = 6,270,001,837,383,997,440
  5. Step 5: Solve for x
    x = 6,270,001,837,383,997,440/1,122,902,892
  6. Step 6: Final answer
    x = 5,583,743,600.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.