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Finding the Third Proportional to 9,809,568 and 22,912,283.25

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Solution

The third proportional to 9,809,568 and 22,912,283.25 is: 53,516,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809,568 : 22,912,283.25 = 22,912,283.25 : x
  2. Step 2: Convert to fraction form
    9,809,568/22,912,283.25 = 22,912,283.25/x
  3. Step 3: Cross multiply
    9,809,568x = 22,912,283.25 × 22,912,283.25
  4. Step 4: Simplify right side
    9,809,568x = 524,972,723,728,230.56
  5. Step 5: Solve for x
    x = 524,972,723,728,230.56/9,809,568
  6. Step 6: Final answer
    x = 53,516,395.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.