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Finding the Third Proportional to 809,006,682,120.50 and 1,760,431,129,747

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Solution

The third proportional to 809,006,682,120.50 and 1,760,431,129,747 is: 3,830,769,054,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,006,682,120.50 : 1,760,431,129,747 = 1,760,431,129,747 : x
  2. Step 2: Convert to fraction form
    809,006,682,120.50/1,760,431,129,747 = 1,760,431,129,747/x
  3. Step 3: Cross multiply
    809,006,682,120.50x = 1,760,431,129,747 × 1,760,431,129,747
  4. Step 4: Simplify right side
    809,006,682,120.50x = 3,099,117,762,582,299,008,827,392
  5. Step 5: Solve for x
    x = 3,099,117,762,582,299,008,827,392/809,006,682,120.50
  6. Step 6: Final answer
    x = 3,830,769,054,291.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.