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Finding the Third Proportional to 6,496,584 and 9,082,351

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Solution

The third proportional to 6,496,584 and 9,082,351 is: 12,697,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496,584 : 9,082,351 = 9,082,351 : x
  2. Step 2: Convert to fraction form
    6,496,584/9,082,351 = 9,082,351/x
  3. Step 3: Cross multiply
    6,496,584x = 9,082,351 × 9,082,351
  4. Step 4: Simplify right side
    6,496,584x = 82,489,099,687,201
  5. Step 5: Solve for x
    x = 82,489,099,687,201/6,496,584
  6. Step 6: Final answer
    x = 12,697,303.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.