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Finding the Third Proportional to 816,092,073 and 1,770,740,761.50

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Solution

The third proportional to 816,092,073 and 1,770,740,761.50 is: 3,842,118,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,092,073 : 1,770,740,761.50 = 1,770,740,761.50 : x
  2. Step 2: Convert to fraction form
    816,092,073/1,770,740,761.50 = 1,770,740,761.50/x
  3. Step 3: Cross multiply
    816,092,073x = 1,770,740,761.50 × 1,770,740,761.50
  4. Step 4: Simplify right side
    816,092,073x = 3,135,522,844,437,599,744
  5. Step 5: Solve for x
    x = 3,135,522,844,437,599,744/816,092,073
  6. Step 6: Final answer
    x = 3,842,118,981.64

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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.