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Finding the Third Proportional to 7,836,792 and 11,287,728

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Solution

The third proportional to 7,836,792 and 11,287,728 is: 16,258,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836,792 : 11,287,728 = 11,287,728 : x
  2. Step 2: Convert to fraction form
    7,836,792/11,287,728 = 11,287,728/x
  3. Step 3: Cross multiply
    7,836,792x = 11,287,728 × 11,287,728
  4. Step 4: Simplify right side
    7,836,792x = 127,412,803,401,984
  5. Step 5: Solve for x
    x = 127,412,803,401,984/7,836,792
  6. Step 6: Final answer
    x = 16,258,285.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.