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Finding the Third Proportional to 6,024,728 and 8,426,757

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Solution

The third proportional to 6,024,728 and 8,426,757 is: 11,786,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024,728 : 8,426,757 = 8,426,757 : x
  2. Step 2: Convert to fraction form
    6,024,728/8,426,757 = 8,426,757/x
  3. Step 3: Cross multiply
    6,024,728x = 8,426,757 × 8,426,757
  4. Step 4: Simplify right side
    6,024,728x = 71,010,233,537,049
  5. Step 5: Solve for x
    x = 71,010,233,537,049/6,024,728
  6. Step 6: Final answer
    x = 11,786,462.98

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