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Finding the Third Proportional to 57,463,433,589 and 134,260,509,393

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Solution

The third proportional to 57,463,433,589 and 134,260,509,393 is: 313,693,130,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,463,433,589 : 134,260,509,393 = 134,260,509,393 : x
  2. Step 2: Convert to fraction form
    57,463,433,589/134,260,509,393 = 134,260,509,393/x
  3. Step 3: Cross multiply
    57,463,433,589x = 134,260,509,393 × 134,260,509,393
  4. Step 4: Simplify right side
    57,463,433,589x = 18,025,884,382,467,840,802,816
  5. Step 5: Solve for x
    x = 18,025,884,382,467,840,802,816/57,463,433,589
  6. Step 6: Final answer
    x = 313,693,130,685.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.