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Finding the Third Proportional to 3,636,648 and 7,656,696

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Solution

The third proportional to 3,636,648 and 7,656,696 is: 16,120,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636,648 : 7,656,696 = 7,656,696 : x
  2. Step 2: Convert to fraction form
    3,636,648/7,656,696 = 7,656,696/x
  3. Step 3: Cross multiply
    3,636,648x = 7,656,696 × 7,656,696
  4. Step 4: Simplify right side
    3,636,648x = 58,624,993,636,416
  5. Step 5: Solve for x
    x = 58,624,993,636,416/3,636,648
  6. Step 6: Final answer
    x = 16,120,612.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.