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Finding the Third Proportional to 603,722,507,328 and 1,292,253,678,720

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Solution

The third proportional to 603,722,507,328 and 1,292,253,678,720 is: 2,766,038,287,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,722,507,328 : 1,292,253,678,720 = 1,292,253,678,720 : x
  2. Step 2: Convert to fraction form
    603,722,507,328/1,292,253,678,720 = 1,292,253,678,720/x
  3. Step 3: Cross multiply
    603,722,507,328x = 1,292,253,678,720 × 1,292,253,678,720
  4. Step 4: Simplify right side
    603,722,507,328x = 1,669,919,570,165,373,100,621,824
  5. Step 5: Solve for x
    x = 1,669,919,570,165,373,100,621,824/603,722,507,328
  6. Step 6: Final answer
    x = 2,766,038,287,285.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.