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Finding the Third Proportional to 2,388,608,852,412 and 5,264,092,261,868

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Solution

The third proportional to 2,388,608,852,412 and 5,264,092,261,868 is: 11,601,174,178,633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388,608,852,412 : 5,264,092,261,868 = 5,264,092,261,868 : x
  2. Step 2: Convert to fraction form
    2,388,608,852,412/5,264,092,261,868 = 5,264,092,261,868/x
  3. Step 3: Cross multiply
    2,388,608,852,412x = 5,264,092,261,868 × 5,264,092,261,868
  4. Step 4: Simplify right side
    2,388,608,852,412x = 27,710,667,341,458,556,332,277,760
  5. Step 5: Solve for x
    x = 27,710,667,341,458,556,332,277,760/2,388,608,852,412
  6. Step 6: Final answer
    x = 11,601,174,178,633.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.