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Finding the Third Proportional to 10,825,278 and 23,556,234

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Solution

The third proportional to 10,825,278 and 23,556,234 is: 51,259,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825,278 : 23,556,234 = 23,556,234 : x
  2. Step 2: Convert to fraction form
    10,825,278/23,556,234 = 23,556,234/x
  3. Step 3: Cross multiply
    10,825,278x = 23,556,234 × 23,556,234
  4. Step 4: Simplify right side
    10,825,278x = 554,896,160,262,756
  5. Step 5: Solve for x
    x = 554,896,160,262,756/10,825,278
  6. Step 6: Final answer
    x = 51,259,298.86

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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.