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Finding the Third Proportional to 4,733,169 and 10,367,296

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Solution

The third proportional to 4,733,169 and 10,367,296 is: 22,708,005.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733,169 : 10,367,296 = 10,367,296 : x
  2. Step 2: Convert to fraction form
    4,733,169/10,367,296 = 10,367,296/x
  3. Step 3: Cross multiply
    4,733,169x = 10,367,296 × 10,367,296
  4. Step 4: Simplify right side
    4,733,169x = 107,480,826,351,616
  5. Step 5: Solve for x
    x = 107,480,826,351,616/4,733,169
  6. Step 6: Final answer
    x = 22,708,005.22

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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.