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Finding the Third Proportional to 11,663,676 and 16,417,728

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Solution

The third proportional to 11,663,676 and 16,417,728 is: 23,109,506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663,676 : 16,417,728 = 16,417,728 : x
  2. Step 2: Convert to fraction form
    11,663,676/16,417,728 = 16,417,728/x
  3. Step 3: Cross multiply
    11,663,676x = 16,417,728 × 16,417,728
  4. Step 4: Simplify right side
    11,663,676x = 269,541,792,681,984
  5. Step 5: Solve for x
    x = 269,541,792,681,984/11,663,676
  6. Step 6: Final answer
    x = 23,109,506.19

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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.