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Finding the Third Proportional to 1,588,534,570 and 3,463,094,737

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Solution

The third proportional to 1,588,534,570 and 3,463,094,737 is: 7,549,741,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588,534,570 : 3,463,094,737 = 3,463,094,737 : x
  2. Step 2: Convert to fraction form
    1,588,534,570/3,463,094,737 = 3,463,094,737/x
  3. Step 3: Cross multiply
    1,588,534,570x = 3,463,094,737 × 3,463,094,737
  4. Step 4: Simplify right side
    1,588,534,570x = 11,993,025,157,437,100,032
  5. Step 5: Solve for x
    x = 11,993,025,157,437,100,032/1,588,534,570
  6. Step 6: Final answer
    x = 7,549,741,367.88

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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.