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Finding the Third Proportional to 6,410,751 and 9,166,779

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Solution

The third proportional to 6,410,751 and 9,166,779 is: 13,107,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410,751 : 9,166,779 = 9,166,779 : x
  2. Step 2: Convert to fraction form
    6,410,751/9,166,779 = 9,166,779/x
  3. Step 3: Cross multiply
    6,410,751x = 9,166,779 × 9,166,779
  4. Step 4: Simplify right side
    6,410,751x = 84,029,837,234,841
  5. Step 5: Solve for x
    x = 84,029,837,234,841/6,410,751
  6. Step 6: Final answer
    x = 13,107,643.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.