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Finding the Third Proportional to 4,016,682 and 6,119,138.25

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Solution

The third proportional to 4,016,682 and 6,119,138.25 is: 9,322,085.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016,682 : 6,119,138.25 = 6,119,138.25 : x
  2. Step 2: Convert to fraction form
    4,016,682/6,119,138.25 = 6,119,138.25/x
  3. Step 3: Cross multiply
    4,016,682x = 6,119,138.25 × 6,119,138.25
  4. Step 4: Simplify right side
    4,016,682x = 37,443,852,922,613.06
  5. Step 5: Solve for x
    x = 37,443,852,922,613.06/4,016,682
  6. Step 6: Final answer
    x = 9,322,085.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.