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Finding the Third Proportional to 3,082,102.31 and 4,908,556.97

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Solution

The third proportional to 3,082,102.31 and 4,908,556.97 is: 7,817,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082,102.31 : 4,908,556.97 = 4,908,556.97 : x
  2. Step 2: Convert to fraction form
    3,082,102.31/4,908,556.97 = 4,908,556.97/x
  3. Step 3: Cross multiply
    3,082,102.31x = 4,908,556.97 × 4,908,556.97
  4. Step 4: Simplify right side
    3,082,102.31x = 24,093,931,515,464.19
  5. Step 5: Solve for x
    x = 24,093,931,515,464.19/3,082,102.31
  6. Step 6: Final answer
    x = 7,817,369.14

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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.