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Finding the Third Proportional to 1,588,534,590 and 3,463,094,774

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Solution

The third proportional to 1,588,534,590 and 3,463,094,774 is: 7,549,741,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588,534,590 : 3,463,094,774 = 3,463,094,774 : x
  2. Step 2: Convert to fraction form
    1,588,534,590/3,463,094,774 = 3,463,094,774/x
  3. Step 3: Cross multiply
    1,588,534,590x = 3,463,094,774 × 3,463,094,774
  4. Step 4: Simplify right side
    1,588,534,590x = 11,993,025,413,706,110,976
  5. Step 5: Solve for x
    x = 11,993,025,413,706,110,976/1,588,534,590
  6. Step 6: Final answer
    x = 7,549,741,434.15

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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.