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Finding the Third Proportional to 3,158,868 and 6,822,103

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Solution

The third proportional to 3,158,868 and 6,822,103 is: 14,733,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158,868 : 6,822,103 = 6,822,103 : x
  2. Step 2: Convert to fraction form
    3,158,868/6,822,103 = 6,822,103/x
  3. Step 3: Cross multiply
    3,158,868x = 6,822,103 × 6,822,103
  4. Step 4: Simplify right side
    3,158,868x = 46,541,089,342,609
  5. Step 5: Solve for x
    x = 46,541,089,342,609/3,158,868
  6. Step 6: Final answer
    x = 14,733,470.77

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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.