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Finding the Third Proportional to 6,653,186 and 14,100,100

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Solution

The third proportional to 6,653,186 and 14,100,100 is: 29,882,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653,186 : 14,100,100 = 14,100,100 : x
  2. Step 2: Convert to fraction form
    6,653,186/14,100,100 = 14,100,100/x
  3. Step 3: Cross multiply
    6,653,186x = 14,100,100 × 14,100,100
  4. Step 4: Simplify right side
    6,653,186x = 198,812,820,010,000
  5. Step 5: Solve for x
    x = 198,812,820,010,000/6,653,186
  6. Step 6: Final answer
    x = 29,882,348.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.