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Finding the Third Proportional to 2,675,914 and 5,718,164

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Solution

The third proportional to 2,675,914 and 5,718,164 is: 12,219,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675,914 : 5,718,164 = 5,718,164 : x
  2. Step 2: Convert to fraction form
    2,675,914/5,718,164 = 5,718,164/x
  3. Step 3: Cross multiply
    2,675,914x = 5,718,164 × 5,718,164
  4. Step 4: Simplify right side
    2,675,914x = 32,697,399,530,896
  5. Step 5: Solve for x
    x = 32,697,399,530,896/2,675,914
  6. Step 6: Final answer
    x = 12,219,151.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.