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Finding the Third Proportional to 839,002,772.25 and 1,166,566,291.31

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Solution

The third proportional to 839,002,772.25 and 1,166,566,291.31 is: 1,622,017,181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,002,772.25 : 1,166,566,291.31 = 1,166,566,291.31 : x
  2. Step 2: Convert to fraction form
    839,002,772.25/1,166,566,291.31 = 1,166,566,291.31/x
  3. Step 3: Cross multiply
    839,002,772.25x = 1,166,566,291.31 × 1,166,566,291.31
  4. Step 4: Simplify right side
    839,002,772.25x = 1,360,876,912,026,600,704
  5. Step 5: Solve for x
    x = 1,360,876,912,026,600,704/839,002,772.25
  6. Step 6: Final answer
    x = 1,622,017,181.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.