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Finding the Third Proportional to 6,680,288 and 14,552,512

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Solution

The third proportional to 6,680,288 and 14,552,512 is: 31,701,568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680,288 : 14,552,512 = 14,552,512 : x
  2. Step 2: Convert to fraction form
    6,680,288/14,552,512 = 14,552,512/x
  3. Step 3: Cross multiply
    6,680,288x = 14,552,512 × 14,552,512
  4. Step 4: Simplify right side
    6,680,288x = 211,775,605,510,144
  5. Step 5: Solve for x
    x = 211,775,605,510,144/6,680,288
  6. Step 6: Final answer
    x = 31,701,568.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.