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Finding the Third Proportional to 4,733,110 and 10,361,783

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Solution

The third proportional to 4,733,110 and 10,361,783 is: 22,684,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733,110 : 10,361,783 = 10,361,783 : x
  2. Step 2: Convert to fraction form
    4,733,110/10,361,783 = 10,361,783/x
  3. Step 3: Cross multiply
    4,733,110x = 10,361,783 × 10,361,783
  4. Step 4: Simplify right side
    4,733,110x = 107,366,546,939,089
  5. Step 5: Solve for x
    x = 107,366,546,939,089/4,733,110
  6. Step 6: Final answer
    x = 22,684,143.61

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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.