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Finding the Third Proportional to 6,430,093 and 13,869,756

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Solution

The third proportional to 6,430,093 and 13,869,756 is: 29,917,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,093 : 13,869,756 = 13,869,756 : x
  2. Step 2: Convert to fraction form
    6,430,093/13,869,756 = 13,869,756/x
  3. Step 3: Cross multiply
    6,430,093x = 13,869,756 × 13,869,756
  4. Step 4: Simplify right side
    6,430,093x = 192,370,131,499,536
  5. Step 5: Solve for x
    x = 192,370,131,499,536/6,430,093
  6. Step 6: Final answer
    x = 29,917,161.62

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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.