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Finding the Third Proportional to 23,016,230.75 and 49,223,840.25

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Solution

The third proportional to 23,016,230.75 and 49,223,840.25 is: 105,272,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,016,230.75 : 49,223,840.25 = 49,223,840.25 : x
  2. Step 2: Convert to fraction form
    23,016,230.75/49,223,840.25 = 49,223,840.25/x
  3. Step 3: Cross multiply
    23,016,230.75x = 49,223,840.25 × 49,223,840.25
  4. Step 4: Simplify right side
    23,016,230.75x = 2,422,986,448,957,520
  5. Step 5: Solve for x
    x = 2,422,986,448,957,520/23,016,230.75
  6. Step 6: Final answer
    x = 105,272,947.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.