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Finding the Third Proportional to 3,082,176 and 6,698,304

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Solution

The third proportional to 3,082,176 and 6,698,304 is: 14,557,013.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082,176 : 6,698,304 = 6,698,304 : x
  2. Step 2: Convert to fraction form
    3,082,176/6,698,304 = 6,698,304/x
  3. Step 3: Cross multiply
    3,082,176x = 6,698,304 × 6,698,304
  4. Step 4: Simplify right side
    3,082,176x = 44,867,276,476,416
  5. Step 5: Solve for x
    x = 44,867,276,476,416/3,082,176
  6. Step 6: Final answer
    x = 14,557,013.12

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