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Finding the Third Proportional to 6,467,201 and 10,145,114

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Solution

The third proportional to 6,467,201 and 10,145,114 is: 15,914,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467,201 : 10,145,114 = 10,145,114 : x
  2. Step 2: Convert to fraction form
    6,467,201/10,145,114 = 10,145,114/x
  3. Step 3: Cross multiply
    6,467,201x = 10,145,114 × 10,145,114
  4. Step 4: Simplify right side
    6,467,201x = 102,923,338,072,996
  5. Step 5: Solve for x
    x = 102,923,338,072,996/6,467,201
  6. Step 6: Final answer
    x = 15,914,665.10

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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.