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Finding the Third Proportional to 6,071,067 and 12,386,000.25

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Solution

The third proportional to 6,071,067 and 12,386,000.25 is: 25,269,528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071,067 : 12,386,000.25 = 12,386,000.25 : x
  2. Step 2: Convert to fraction form
    6,071,067/12,386,000.25 = 12,386,000.25/x
  3. Step 3: Cross multiply
    6,071,067x = 12,386,000.25 × 12,386,000.25
  4. Step 4: Simplify right side
    6,071,067x = 153,413,002,193,000.06
  5. Step 5: Solve for x
    x = 153,413,002,193,000.06/6,071,067
  6. Step 6: Final answer
    x = 25,269,528.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.