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Finding the Third Proportional to 6,863,474 and 14,922,148

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Solution

The third proportional to 6,863,474 and 14,922,148 is: 32,442,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863,474 : 14,922,148 = 14,922,148 : x
  2. Step 2: Convert to fraction form
    6,863,474/14,922,148 = 14,922,148/x
  3. Step 3: Cross multiply
    6,863,474x = 14,922,148 × 14,922,148
  4. Step 4: Simplify right side
    6,863,474x = 222,670,500,933,904
  5. Step 5: Solve for x
    x = 222,670,500,933,904/6,863,474
  6. Step 6: Final answer
    x = 32,442,827.19

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Why These Related Problems?

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