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Finding the Third Proportional to 7,438,084 and 10,474,278

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Solution

The third proportional to 7,438,084 and 10,474,278 is: 14,749,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438,084 : 10,474,278 = 10,474,278 : x
  2. Step 2: Convert to fraction form
    7,438,084/10,474,278 = 10,474,278/x
  3. Step 3: Cross multiply
    7,438,084x = 10,474,278 × 10,474,278
  4. Step 4: Simplify right side
    7,438,084x = 109,710,499,621,284
  5. Step 5: Solve for x
    x = 109,710,499,621,284/7,438,084
  6. Step 6: Final answer
    x = 14,749,833.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.