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Finding the Third Proportional to 816,091,984.50 and 1,770,740,590.50

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Solution

The third proportional to 816,091,984.50 and 1,770,740,590.50 is: 3,842,118,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,091,984.50 : 1,770,740,590.50 = 1,770,740,590.50 : x
  2. Step 2: Convert to fraction form
    816,091,984.50/1,770,740,590.50 = 1,770,740,590.50/x
  3. Step 3: Cross multiply
    816,091,984.50x = 1,770,740,590.50 × 1,770,740,590.50
  4. Step 4: Simplify right side
    816,091,984.50x = 3,135,522,238,844,288,512
  5. Step 5: Solve for x
    x = 3,135,522,238,844,288,512/816,091,984.50
  6. Step 6: Final answer
    x = 3,842,118,656.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.