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Finding the Third Proportional to 10,677,100 and 23,033,816

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Solution

The third proportional to 10,677,100 and 23,033,816 is: 49,691,084.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677,100 : 23,033,816 = 23,033,816 : x
  2. Step 2: Convert to fraction form
    10,677,100/23,033,816 = 23,033,816/x
  3. Step 3: Cross multiply
    10,677,100x = 23,033,816 × 23,033,816
  4. Step 4: Simplify right side
    10,677,100x = 530,556,679,521,856
  5. Step 5: Solve for x
    x = 530,556,679,521,856/10,677,100
  6. Step 6: Final answer
    x = 49,691,084.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.