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Finding the Third Proportional to 899,150,052,978 and 1,941,609,030,606

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Solution

The third proportional to 899,150,052,978 and 1,941,609,030,606 is: 4,192,676,867,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,150,052,978 : 1,941,609,030,606 = 1,941,609,030,606 : x
  2. Step 2: Convert to fraction form
    899,150,052,978/1,941,609,030,606 = 1,941,609,030,606/x
  3. Step 3: Cross multiply
    899,150,052,978x = 1,941,609,030,606 × 1,941,609,030,606
  4. Step 4: Simplify right side
    899,150,052,978x = 3,769,845,627,730,771,088,244,736
  5. Step 5: Solve for x
    x = 3,769,845,627,730,771,088,244,736/899,150,052,978
  6. Step 6: Final answer
    x = 4,192,676,867,720.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.