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Finding the Third Proportional to 11,643,391,107 and 25,326,824,817

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Solution

The third proportional to 11,643,391,107 and 25,326,824,817 is: 55,091,171,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643,391,107 : 25,326,824,817 = 25,326,824,817 : x
  2. Step 2: Convert to fraction form
    11,643,391,107/25,326,824,817 = 25,326,824,817/x
  3. Step 3: Cross multiply
    11,643,391,107x = 25,326,824,817 × 25,326,824,817
  4. Step 4: Simplify right side
    11,643,391,107x = 641,448,055,311,007,088,640
  5. Step 5: Solve for x
    x = 641,448,055,311,007,088,640/11,643,391,107
  6. Step 6: Final answer
    x = 55,091,171,413.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.