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Finding the Third Proportional to 816,092,025.19 and 1,770,740,670.94

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Solution

The third proportional to 816,092,025.19 and 1,770,740,670.94 is: 3,842,118,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,092,025.19 : 1,770,740,670.94 = 1,770,740,670.94 : x
  2. Step 2: Convert to fraction form
    816,092,025.19/1,770,740,670.94 = 1,770,740,670.94/x
  3. Step 3: Cross multiply
    816,092,025.19x = 1,770,740,670.94 × 1,770,740,670.94
  4. Step 4: Simplify right side
    816,092,025.19x = 3,135,522,523,712,187,904
  5. Step 5: Solve for x
    x = 3,135,522,523,712,187,904/816,092,025.19
  6. Step 6: Final answer
    x = 3,842,118,813.74

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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.