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Finding the Third Proportional to 6,786,728 and 14,636,144

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Solution

The third proportional to 6,786,728 and 14,636,144 is: 31,564,063.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786,728 : 14,636,144 = 14,636,144 : x
  2. Step 2: Convert to fraction form
    6,786,728/14,636,144 = 14,636,144/x
  3. Step 3: Cross multiply
    6,786,728x = 14,636,144 × 14,636,144
  4. Step 4: Simplify right side
    6,786,728x = 214,216,711,188,736
  5. Step 5: Solve for x
    x = 214,216,711,188,736/6,786,728
  6. Step 6: Final answer
    x = 31,564,063.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.