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Finding the Third Proportional to 2,388,608,912,042 and 5,264,092,383,460

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Solution

The third proportional to 2,388,608,912,042 and 5,264,092,383,460 is: 11,601,174,424,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388,608,912,042 : 5,264,092,383,460 = 5,264,092,383,460 : x
  2. Step 2: Convert to fraction form
    2,388,608,912,042/5,264,092,383,460 = 5,264,092,383,460/x
  3. Step 3: Cross multiply
    2,388,608,912,042x = 5,264,092,383,460 × 5,264,092,383,460
  4. Step 4: Simplify right side
    2,388,608,912,042x = 27,710,668,621,601,583,566,684,160
  5. Step 5: Solve for x
    x = 27,710,668,621,601,583,566,684,160/2,388,608,912,042
  6. Step 6: Final answer
    x = 11,601,174,424,955.14

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Why These Related Problems?

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