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Finding the Third Proportional to 2,862,682 and 6,173,734

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Solution

The third proportional to 2,862,682 and 6,173,734 is: 13,314,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862,682 : 6,173,734 = 6,173,734 : x
  2. Step 2: Convert to fraction form
    2,862,682/6,173,734 = 6,173,734/x
  3. Step 3: Cross multiply
    2,862,682x = 6,173,734 × 6,173,734
  4. Step 4: Simplify right side
    2,862,682x = 38,114,991,502,756
  5. Step 5: Solve for x
    x = 38,114,991,502,756/2,862,682
  6. Step 6: Final answer
    x = 13,314,434.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.