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Finding the Third Proportional to 23,912,764 and 33,554,334

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Solution

The third proportional to 23,912,764 and 33,554,334 is: 47,083,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,912,764 : 33,554,334 = 33,554,334 : x
  2. Step 2: Convert to fraction form
    23,912,764/33,554,334 = 33,554,334/x
  3. Step 3: Cross multiply
    23,912,764x = 33,554,334 × 33,554,334
  4. Step 4: Simplify right side
    23,912,764x = 1,125,893,330,183,556
  5. Step 5: Solve for x
    x = 1,125,893,330,183,556/23,912,764
  6. Step 6: Final answer
    x = 47,083,362.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.