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Finding the Third Proportional to 22,519,864 and 49,208,220

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Solution

The third proportional to 22,519,864 and 49,208,220 is: 107,525,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,519,864 : 49,208,220 = 49,208,220 : x
  2. Step 2: Convert to fraction form
    22,519,864/49,208,220 = 49,208,220/x
  3. Step 3: Cross multiply
    22,519,864x = 49,208,220 × 49,208,220
  4. Step 4: Simplify right side
    22,519,864x = 2,421,448,915,568,400
  5. Step 5: Solve for x
    x = 2,421,448,915,568,400/22,519,864
  6. Step 6: Final answer
    x = 107,525,023.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.