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Finding the Third Proportional to 23,144,589 and 49,477,689

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Solution

The third proportional to 23,144,589 and 49,477,689 is: 105,771,664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144,589 : 49,477,689 = 49,477,689 : x
  2. Step 2: Convert to fraction form
    23,144,589/49,477,689 = 49,477,689/x
  3. Step 3: Cross multiply
    23,144,589x = 49,477,689 × 49,477,689
  4. Step 4: Simplify right side
    23,144,589x = 2,448,041,708,780,721
  5. Step 5: Solve for x
    x = 2,448,041,708,780,721/23,144,589
  6. Step 6: Final answer
    x = 105,771,664.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.