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Finding the Third Proportional to 6,467,094 and 10,144,967

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Solution

The third proportional to 6,467,094 and 10,144,967 is: 15,914,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467,094 : 10,144,967 = 10,144,967 : x
  2. Step 2: Convert to fraction form
    6,467,094/10,144,967 = 10,144,967/x
  3. Step 3: Cross multiply
    6,467,094x = 10,144,967 × 10,144,967
  4. Step 4: Simplify right side
    6,467,094x = 102,920,355,431,089
  5. Step 5: Solve for x
    x = 102,920,355,431,089/6,467,094
  6. Step 6: Final answer
    x = 15,914,467.21

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.