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Finding the Third Proportional to 5,749,716 and 12,297,212

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Solution

The third proportional to 5,749,716 and 12,297,212 is: 26,300,676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749,716 : 12,297,212 = 12,297,212 : x
  2. Step 2: Convert to fraction form
    5,749,716/12,297,212 = 12,297,212/x
  3. Step 3: Cross multiply
    5,749,716x = 12,297,212 × 12,297,212
  4. Step 4: Simplify right side
    5,749,716x = 151,221,422,972,944
  5. Step 5: Solve for x
    x = 151,221,422,972,944/5,749,716
  6. Step 6: Final answer
    x = 26,300,676.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.