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Finding the Third Proportional to 159,420,396,786 and 351,335,747,686

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Solution

The third proportional to 159,420,396,786 and 351,335,747,686 is: 774,284,910,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,420,396,786 : 351,335,747,686 = 351,335,747,686 : x
  2. Step 2: Convert to fraction form
    159,420,396,786/351,335,747,686 = 351,335,747,686/x
  3. Step 3: Cross multiply
    159,420,396,786x = 351,335,747,686 × 351,335,747,686
  4. Step 4: Simplify right side
    159,420,396,786x = 123,436,807,602,080,646,692,864
  5. Step 5: Solve for x
    x = 123,436,807,602,080,646,692,864/159,420,396,786
  6. Step 6: Final answer
    x = 774,284,910,153.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.