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Finding the Third Proportional to 2,632,920,231 and 5,483,765,718

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Solution

The third proportional to 2,632,920,231 and 5,483,765,718 is: 11,421,419,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632,920,231 : 5,483,765,718 = 5,483,765,718 : x
  2. Step 2: Convert to fraction form
    2,632,920,231/5,483,765,718 = 5,483,765,718/x
  3. Step 3: Cross multiply
    2,632,920,231x = 5,483,765,718 × 5,483,765,718
  4. Step 4: Simplify right side
    2,632,920,231x = 30,071,686,449,912,053,760
  5. Step 5: Solve for x
    x = 30,071,686,449,912,053,760/2,632,920,231
  6. Step 6: Final answer
    x = 11,421,419,493.02

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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.