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Finding the Third Proportional to 2,807,356.22 and 5,747,743.55

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Solution

The third proportional to 2,807,356.22 and 5,747,743.55 is: 11,767,853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807,356.22 : 5,747,743.55 = 5,747,743.55 : x
  2. Step 2: Convert to fraction form
    2,807,356.22/5,747,743.55 = 5,747,743.55/x
  3. Step 3: Cross multiply
    2,807,356.22x = 5,747,743.55 × 5,747,743.55
  4. Step 4: Simplify right side
    2,807,356.22x = 33,036,555,880,643.21
  5. Step 5: Solve for x
    x = 33,036,555,880,643.21/2,807,356.22
  6. Step 6: Final answer
    x = 11,767,853.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.