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Finding the Third Proportional to 6,874,137 and 14,930,589

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Solution

The third proportional to 6,874,137 and 14,930,589 is: 32,429,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874,137 : 14,930,589 = 14,930,589 : x
  2. Step 2: Convert to fraction form
    6,874,137/14,930,589 = 14,930,589/x
  3. Step 3: Cross multiply
    6,874,137x = 14,930,589 × 14,930,589
  4. Step 4: Simplify right side
    6,874,137x = 222,922,487,886,921
  5. Step 5: Solve for x
    x = 222,922,487,886,921/6,874,137
  6. Step 6: Final answer
    x = 32,429,159.89

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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.