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Finding the Third Proportional to 3,885,144 and 8,243,688

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Solution

The third proportional to 3,885,144 and 8,243,688 is: 17,491,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885,144 : 8,243,688 = 8,243,688 : x
  2. Step 2: Convert to fraction form
    3,885,144/8,243,688 = 8,243,688/x
  3. Step 3: Cross multiply
    3,885,144x = 8,243,688 × 8,243,688
  4. Step 4: Simplify right side
    3,885,144x = 67,958,391,841,344
  5. Step 5: Solve for x
    x = 67,958,391,841,344/3,885,144
  6. Step 6: Final answer
    x = 17,491,859.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.