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Finding the Third Proportional to 6,483,612 and 13,972,756

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Solution

The third proportional to 6,483,612 and 13,972,756 is: 30,112,522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483,612 : 13,972,756 = 13,972,756 : x
  2. Step 2: Convert to fraction form
    6,483,612/13,972,756 = 13,972,756/x
  3. Step 3: Cross multiply
    6,483,612x = 13,972,756 × 13,972,756
  4. Step 4: Simplify right side
    6,483,612x = 195,237,910,235,536
  5. Step 5: Solve for x
    x = 195,237,910,235,536/6,483,612
  6. Step 6: Final answer
    x = 30,112,522.19

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Why These Related Problems?

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