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Finding the Third Proportional to 3,158,867 and 6,822,101

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Solution

The third proportional to 3,158,867 and 6,822,101 is: 14,733,466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158,867 : 6,822,101 = 6,822,101 : x
  2. Step 2: Convert to fraction form
    3,158,867/6,822,101 = 6,822,101/x
  3. Step 3: Cross multiply
    3,158,867x = 6,822,101 × 6,822,101
  4. Step 4: Simplify right side
    3,158,867x = 46,541,062,054,201
  5. Step 5: Solve for x
    x = 46,541,062,054,201/3,158,867
  6. Step 6: Final answer
    x = 14,733,466.79

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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.