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Finding the Third Proportional to 901,624,285 and 1,379,250,209.50

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Solution

The third proportional to 901,624,285 and 1,379,250,209.50 is: 2,109,893,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,624,285 : 1,379,250,209.50 = 1,379,250,209.50 : x
  2. Step 2: Convert to fraction form
    901,624,285/1,379,250,209.50 = 1,379,250,209.50/x
  3. Step 3: Cross multiply
    901,624,285x = 1,379,250,209.50 × 1,379,250,209.50
  4. Step 4: Simplify right side
    901,624,285x = 1,902,331,140,405,793,792
  5. Step 5: Solve for x
    x = 1,902,331,140,405,793,792/901,624,285
  6. Step 6: Final answer
    x = 2,109,893,413.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.