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Finding the Third Proportional to 993,760,293.09 and 2,090,324,895.19

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Solution

The third proportional to 993,760,293.09 and 2,090,324,895.19 is: 4,396,893,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,760,293.09 : 2,090,324,895.19 = 2,090,324,895.19 : x
  2. Step 2: Convert to fraction form
    993,760,293.09/2,090,324,895.19 = 2,090,324,895.19/x
  3. Step 3: Cross multiply
    993,760,293.09x = 2,090,324,895.19 × 2,090,324,895.19
  4. Step 4: Simplify right side
    993,760,293.09x = 4,369,458,167,440,632,832
  5. Step 5: Solve for x
    x = 4,369,458,167,440,632,832/993,760,293.09
  6. Step 6: Final answer
    x = 4,396,893,494.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.