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Finding the Third Proportional to 6,837,290 and 14,589,884

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Solution

The third proportional to 6,837,290 and 14,589,884 is: 31,132,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837,290 : 14,589,884 = 14,589,884 : x
  2. Step 2: Convert to fraction form
    6,837,290/14,589,884 = 14,589,884/x
  3. Step 3: Cross multiply
    6,837,290x = 14,589,884 × 14,589,884
  4. Step 4: Simplify right side
    6,837,290x = 212,864,715,133,456
  5. Step 5: Solve for x
    x = 212,864,715,133,456/6,837,290
  6. Step 6: Final answer
    x = 31,132,907.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.