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Finding the Third Proportional to 6,410,745 and 9,166,770

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Solution

The third proportional to 6,410,745 and 9,166,770 is: 13,107,629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410,745 : 9,166,770 = 9,166,770 : x
  2. Step 2: Convert to fraction form
    6,410,745/9,166,770 = 9,166,770/x
  3. Step 3: Cross multiply
    6,410,745x = 9,166,770 × 9,166,770
  4. Step 4: Simplify right side
    6,410,745x = 84,029,672,232,900
  5. Step 5: Solve for x
    x = 84,029,672,232,900/6,410,745
  6. Step 6: Final answer
    x = 13,107,629.80

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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.