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Finding the Third Proportional to 3,699,561,956 and 8,632,609,553

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Solution

The third proportional to 3,699,561,956 and 8,632,609,553 is: 20,143,451,733.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699,561,956 : 8,632,609,553 = 8,632,609,553 : x
  2. Step 2: Convert to fraction form
    3,699,561,956/8,632,609,553 = 8,632,609,553/x
  3. Step 3: Cross multiply
    3,699,561,956x = 8,632,609,553 × 8,632,609,553
  4. Step 4: Simplify right side
    3,699,561,956x = 74,521,947,694,546,862,080
  5. Step 5: Solve for x
    x = 74,521,947,694,546,862,080/3,699,561,956
  6. Step 6: Final answer
    x = 20,143,451,733.17

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.