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Finding the Third Proportional to 2,486,821,636 and 5,393,233,213

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Solution

The third proportional to 2,486,821,636 and 5,393,233,213 is: 11,696,441,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486,821,636 : 5,393,233,213 = 5,393,233,213 : x
  2. Step 2: Convert to fraction form
    2,486,821,636/5,393,233,213 = 5,393,233,213/x
  3. Step 3: Cross multiply
    2,486,821,636x = 5,393,233,213 × 5,393,233,213
  4. Step 4: Simplify right side
    2,486,821,636x = 29,086,964,489,806,303,232
  5. Step 5: Solve for x
    x = 29,086,964,489,806,303,232/2,486,821,636
  6. Step 6: Final answer
    x = 11,696,441,782.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.