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Finding the Third Proportional to 6,430,106 and 13,744,530

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Solution

The third proportional to 6,430,106 and 13,744,530 is: 29,379,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,106 : 13,744,530 = 13,744,530 : x
  2. Step 2: Convert to fraction form
    6,430,106/13,744,530 = 13,744,530/x
  3. Step 3: Cross multiply
    6,430,106x = 13,744,530 × 13,744,530
  4. Step 4: Simplify right side
    6,430,106x = 188,912,104,920,900
  5. Step 5: Solve for x
    x = 188,912,104,920,900/6,430,106
  6. Step 6: Final answer
    x = 29,379,314.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.