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Finding the Third Proportional to 1,588,534,578 and 3,463,094,753

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Solution

The third proportional to 1,588,534,578 and 3,463,094,753 is: 7,549,741,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588,534,578 : 3,463,094,753 = 3,463,094,753 : x
  2. Step 2: Convert to fraction form
    1,588,534,578/3,463,094,753 = 3,463,094,753/x
  3. Step 3: Cross multiply
    1,588,534,578x = 3,463,094,753 × 3,463,094,753
  4. Step 4: Simplify right side
    1,588,534,578x = 11,993,025,268,256,131,072
  5. Step 5: Solve for x
    x = 11,993,025,268,256,131,072/1,588,534,578
  6. Step 6: Final answer
    x = 7,549,741,399.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.