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Finding the Third Proportional to 2,279,414,422.50 and 3,405,702,747

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Solution

The third proportional to 2,279,414,422.50 and 3,405,702,747 is: 5,088,504,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279,414,422.50 : 3,405,702,747 = 3,405,702,747 : x
  2. Step 2: Convert to fraction form
    2,279,414,422.50/3,405,702,747 = 3,405,702,747/x
  3. Step 3: Cross multiply
    2,279,414,422.50x = 3,405,702,747 × 3,405,702,747
  4. Step 4: Simplify right side
    2,279,414,422.50x = 11,598,811,200,923,346,944
  5. Step 5: Solve for x
    x = 11,598,811,200,923,346,944/2,279,414,422.50
  6. Step 6: Final answer
    x = 5,088,504,787.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.