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Finding the Third Proportional to 1,588,534,582 and 3,463,094,761

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Solution

The third proportional to 1,588,534,582 and 3,463,094,761 is: 7,549,741,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588,534,582 : 3,463,094,761 = 3,463,094,761 : x
  2. Step 2: Convert to fraction form
    1,588,534,582/3,463,094,761 = 3,463,094,761/x
  3. Step 3: Cross multiply
    1,588,534,582x = 3,463,094,761 × 3,463,094,761
  4. Step 4: Simplify right side
    1,588,534,582x = 11,993,025,323,665,647,616
  5. Step 5: Solve for x
    x = 11,993,025,323,665,647,616/1,588,534,582
  6. Step 6: Final answer
    x = 7,549,741,415.49

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