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Finding the Third Proportional to 4,091,937.75 and 5,957,995.50

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Solution

The third proportional to 4,091,937.75 and 5,957,995.50 is: 8,675,036.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091,937.75 : 5,957,995.50 = 5,957,995.50 : x
  2. Step 2: Convert to fraction form
    4,091,937.75/5,957,995.50 = 5,957,995.50/x
  3. Step 3: Cross multiply
    4,091,937.75x = 5,957,995.50 × 5,957,995.50
  4. Step 4: Simplify right side
    4,091,937.75x = 35,497,710,378,020.25
  5. Step 5: Solve for x
    x = 35,497,710,378,020.25/4,091,937.75
  6. Step 6: Final answer
    x = 8,675,036.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.