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Finding the Third Proportional to 11,643,391,082 and 25,326,824,762

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Solution

The third proportional to 11,643,391,082 and 25,326,824,762 is: 55,091,171,292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643,391,082 : 25,326,824,762 = 25,326,824,762 : x
  2. Step 2: Convert to fraction form
    11,643,391,082/25,326,824,762 = 25,326,824,762/x
  3. Step 3: Cross multiply
    11,643,391,082x = 25,326,824,762 × 25,326,824,762
  4. Step 4: Simplify right side
    11,643,391,082x = 641,448,052,525,056,393,216
  5. Step 5: Solve for x
    x = 641,448,052,525,056,393,216/11,643,391,082
  6. Step 6: Final answer
    x = 55,091,171,292.59

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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.