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Finding the Third Proportional to 23,912,694 and 33,554,223

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Solution

The third proportional to 23,912,694 and 33,554,223 is: 47,083,188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,912,694 : 33,554,223 = 33,554,223 : x
  2. Step 2: Convert to fraction form
    23,912,694/33,554,223 = 33,554,223/x
  3. Step 3: Cross multiply
    23,912,694x = 33,554,223 × 33,554,223
  4. Step 4: Simplify right side
    23,912,694x = 1,125,885,881,133,729
  5. Step 5: Solve for x
    x = 1,125,885,881,133,729/23,912,694
  6. Step 6: Final answer
    x = 47,083,188.58

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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.