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Finding the Third Proportional to 24,770,144 and 38,259,680

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Solution

The third proportional to 24,770,144 and 38,259,680 is: 59,095,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,770,144 : 38,259,680 = 38,259,680 : x
  2. Step 2: Convert to fraction form
    24,770,144/38,259,680 = 38,259,680/x
  3. Step 3: Cross multiply
    24,770,144x = 38,259,680 × 38,259,680
  4. Step 4: Simplify right side
    24,770,144x = 1,463,803,113,702,400
  5. Step 5: Solve for x
    x = 1,463,803,113,702,400/24,770,144
  6. Step 6: Final answer
    x = 59,095,462.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.