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Finding the Third Proportional to 5,252,838 and 11,290,296

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Solution

The third proportional to 5,252,838 and 11,290,296 is: 24,267,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252,838 : 11,290,296 = 11,290,296 : x
  2. Step 2: Convert to fraction form
    5,252,838/11,290,296 = 11,290,296/x
  3. Step 3: Cross multiply
    5,252,838x = 11,290,296 × 11,290,296
  4. Step 4: Simplify right side
    5,252,838x = 127,470,783,767,616
  5. Step 5: Solve for x
    x = 127,470,783,767,616/5,252,838
  6. Step 6: Final answer
    x = 24,267,031.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.