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Finding the Third Proportional to 6,496,596 and 9,082,368

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Solution

The third proportional to 6,496,596 and 9,082,368 is: 12,697,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496,596 : 9,082,368 = 9,082,368 : x
  2. Step 2: Convert to fraction form
    6,496,596/9,082,368 = 9,082,368/x
  3. Step 3: Cross multiply
    6,496,596x = 9,082,368 × 9,082,368
  4. Step 4: Simplify right side
    6,496,596x = 82,489,408,487,424
  5. Step 5: Solve for x
    x = 82,489,408,487,424/6,496,596
  6. Step 6: Final answer
    x = 12,697,327.72

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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.