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Finding the Third Proportional to 6,680,635 and 14,638,054

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Solution

The third proportional to 6,680,635 and 14,638,054 is: 32,073,691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680,635 : 14,638,054 = 14,638,054 : x
  2. Step 2: Convert to fraction form
    6,680,635/14,638,054 = 14,638,054/x
  3. Step 3: Cross multiply
    6,680,635x = 14,638,054 × 14,638,054
  4. Step 4: Simplify right side
    6,680,635x = 214,272,624,906,916
  5. Step 5: Solve for x
    x = 214,272,624,906,916/6,680,635
  6. Step 6: Final answer
    x = 32,073,691.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.