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Finding the Third Proportional to 6,301,344 and 12,833,823

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Solution

The third proportional to 6,301,344 and 12,833,823 is: 26,138,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301,344 : 12,833,823 = 12,833,823 : x
  2. Step 2: Convert to fraction form
    6,301,344/12,833,823 = 12,833,823/x
  3. Step 3: Cross multiply
    6,301,344x = 12,833,823 × 12,833,823
  4. Step 4: Simplify right side
    6,301,344x = 164,707,012,795,329
  5. Step 5: Solve for x
    x = 164,707,012,795,329/6,301,344
  6. Step 6: Final answer
    x = 26,138,394.09

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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.