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Finding the Third Proportional to 5,298,809 and 11,796,742

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Solution

The third proportional to 5,298,809 and 11,796,742 is: 26,263,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298,809 : 11,796,742 = 11,796,742 : x
  2. Step 2: Convert to fraction form
    5,298,809/11,796,742 = 11,796,742/x
  3. Step 3: Cross multiply
    5,298,809x = 11,796,742 × 11,796,742
  4. Step 4: Simplify right side
    5,298,809x = 139,163,121,814,564
  5. Step 5: Solve for x
    x = 139,163,121,814,564/5,298,809
  6. Step 6: Final answer
    x = 26,263,094.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.