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Finding the Third Proportional to 5,658,115,666 and 11,902,582,981

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Solution

The third proportional to 5,658,115,666 and 11,902,582,981 is: 25,038,632,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658,115,666 : 11,902,582,981 = 11,902,582,981 : x
  2. Step 2: Convert to fraction form
    5,658,115,666/11,902,582,981 = 11,902,582,981/x
  3. Step 3: Cross multiply
    5,658,115,666x = 11,902,582,981 × 11,902,582,981
  4. Step 4: Simplify right side
    5,658,115,666x = 141,671,481,619,590,840,320
  5. Step 5: Solve for x
    x = 141,671,481,619,590,840,320/5,658,115,666
  6. Step 6: Final answer
    x = 25,038,632,997.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.