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Finding the Third Proportional to 6,879,762 and 16,065,405

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Solution

The third proportional to 6,879,762 and 16,065,405 is: 37,515,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879,762 : 16,065,405 = 16,065,405 : x
  2. Step 2: Convert to fraction form
    6,879,762/16,065,405 = 16,065,405/x
  3. Step 3: Cross multiply
    6,879,762x = 16,065,405 × 16,065,405
  4. Step 4: Simplify right side
    6,879,762x = 258,097,237,814,025
  5. Step 5: Solve for x
    x = 258,097,237,814,025/6,879,762
  6. Step 6: Final answer
    x = 37,515,431.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.