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Finding the Third Proportional to 23,509,321.50 and 49,863,210

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Solution

The third proportional to 23,509,321.50 and 49,863,210 is: 105,759,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509,321.50 : 49,863,210 = 49,863,210 : x
  2. Step 2: Convert to fraction form
    23,509,321.50/49,863,210 = 49,863,210/x
  3. Step 3: Cross multiply
    23,509,321.50x = 49,863,210 × 49,863,210
  4. Step 4: Simplify right side
    23,509,321.50x = 2,486,339,711,504,100
  5. Step 5: Solve for x
    x = 2,486,339,711,504,100/23,509,321.50
  6. Step 6: Final answer
    x = 105,759,739.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.