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Finding the Third Proportional to 6,430,866 and 13,980,323

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Solution

The third proportional to 6,430,866 and 13,980,323 is: 30,392,396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,866 : 13,980,323 = 13,980,323 : x
  2. Step 2: Convert to fraction form
    6,430,866/13,980,323 = 13,980,323/x
  3. Step 3: Cross multiply
    6,430,866x = 13,980,323 × 13,980,323
  4. Step 4: Simplify right side
    6,430,866x = 195,449,431,184,329
  5. Step 5: Solve for x
    x = 195,449,431,184,329/6,430,866
  6. Step 6: Final answer
    x = 30,392,396.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.