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Finding the Third Proportional to 2,320,322,002 and 3,680,174,732

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Solution

The third proportional to 2,320,322,002 and 3,680,174,732 is: 5,836,985,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320,322,002 : 3,680,174,732 = 3,680,174,732 : x
  2. Step 2: Convert to fraction form
    2,320,322,002/3,680,174,732 = 3,680,174,732/x
  3. Step 3: Cross multiply
    2,320,322,002x = 3,680,174,732 × 3,680,174,732
  4. Step 4: Simplify right side
    2,320,322,002x = 13,543,686,058,051,272,704
  5. Step 5: Solve for x
    x = 13,543,686,058,051,272,704/2,320,322,002
  6. Step 6: Final answer
    x = 5,836,985,576.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.