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Finding the Third Proportional to 6,431,082 and 10,237,023

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Solution

The third proportional to 6,431,082 and 10,237,023 is: 16,295,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431,082 : 10,237,023 = 10,237,023 : x
  2. Step 2: Convert to fraction form
    6,431,082/10,237,023 = 10,237,023/x
  3. Step 3: Cross multiply
    6,431,082x = 10,237,023 × 10,237,023
  4. Step 4: Simplify right side
    6,431,082x = 104,796,639,902,529
  5. Step 5: Solve for x
    x = 104,796,639,902,529/6,431,082
  6. Step 6: Final answer
    x = 16,295,335.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.