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Finding the Third Proportional to 2,388,608,912,040 and 5,264,092,383,456

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Solution

The third proportional to 2,388,608,912,040 and 5,264,092,383,456 is: 11,601,174,424,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388,608,912,040 : 5,264,092,383,456 = 5,264,092,383,456 : x
  2. Step 2: Convert to fraction form
    2,388,608,912,040/5,264,092,383,456 = 5,264,092,383,456/x
  3. Step 3: Cross multiply
    2,388,608,912,040x = 5,264,092,383,456 × 5,264,092,383,456
  4. Step 4: Simplify right side
    2,388,608,912,040x = 27,710,668,621,559,471,412,346,880
  5. Step 5: Solve for x
    x = 27,710,668,621,559,471,412,346,880/2,388,608,912,040
  6. Step 6: Final answer
    x = 11,601,174,424,947.23

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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.