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Finding the Third Proportional to 6,863,469 and 14,922,138

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Solution

The third proportional to 6,863,469 and 14,922,138 is: 32,442,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863,469 : 14,922,138 = 14,922,138 : x
  2. Step 2: Convert to fraction form
    6,863,469/14,922,138 = 14,922,138/x
  3. Step 3: Cross multiply
    6,863,469x = 14,922,138 × 14,922,138
  4. Step 4: Simplify right side
    6,863,469x = 222,670,202,491,044
  5. Step 5: Solve for x
    x = 222,670,202,491,044/6,863,469
  6. Step 6: Final answer
    x = 32,442,807.35

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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.