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Finding the Third Proportional to 5,396,042,169 and 12,032,809,293

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Solution

The third proportional to 5,396,042,169 and 12,032,809,293 is: 26,832,351,369.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396,042,169 : 12,032,809,293 = 12,032,809,293 : x
  2. Step 2: Convert to fraction form
    5,396,042,169/12,032,809,293 = 12,032,809,293/x
  3. Step 3: Cross multiply
    5,396,042,169x = 12,032,809,293 × 12,032,809,293
  4. Step 4: Simplify right side
    5,396,042,169x = 144,788,499,481,707,167,744
  5. Step 5: Solve for x
    x = 144,788,499,481,707,167,744/5,396,042,169
  6. Step 6: Final answer
    x = 26,832,351,369.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.