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Finding the Third Proportional to 10,397,268 and 23,185,208

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Solution

The third proportional to 10,397,268 and 23,185,208 is: 51,701,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397,268 : 23,185,208 = 23,185,208 : x
  2. Step 2: Convert to fraction form
    10,397,268/23,185,208 = 23,185,208/x
  3. Step 3: Cross multiply
    10,397,268x = 23,185,208 × 23,185,208
  4. Step 4: Simplify right side
    10,397,268x = 537,553,870,003,264
  5. Step 5: Solve for x
    x = 537,553,870,003,264/10,397,268
  6. Step 6: Final answer
    x = 51,701,453.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.