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Finding the Third Proportional to 5,997,054.75 and 9,212,134.50

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Solution

The third proportional to 5,997,054.75 and 9,212,134.50 is: 14,150,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997,054.75 : 9,212,134.50 = 9,212,134.50 : x
  2. Step 2: Convert to fraction form
    5,997,054.75/9,212,134.50 = 9,212,134.50/x
  3. Step 3: Cross multiply
    5,997,054.75x = 9,212,134.50 × 9,212,134.50
  4. Step 4: Simplify right side
    5,997,054.75x = 84,863,422,046,090.25
  5. Step 5: Solve for x
    x = 84,863,422,046,090.25/5,997,054.75
  6. Step 6: Final answer
    x = 14,150,849.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.