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Finding the Third Proportional to 7,509,438,589.50 and 16,325,077,995

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Solution

The third proportional to 7,509,438,589.50 and 16,325,077,995 is: 35,489,759,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509,438,589.50 : 16,325,077,995 = 16,325,077,995 : x
  2. Step 2: Convert to fraction form
    7,509,438,589.50/16,325,077,995 = 16,325,077,995/x
  3. Step 3: Cross multiply
    7,509,438,589.50x = 16,325,077,995 × 16,325,077,995
  4. Step 4: Simplify right side
    7,509,438,589.50x = 266,508,171,542,833,233,920
  5. Step 5: Solve for x
    x = 266,508,171,542,833,233,920/7,509,438,589.50
  6. Step 6: Final answer
    x = 35,489,759,769.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.