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Finding the Third Proportional to 5,889,408.75 and 12,457,847.25

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Solution

The third proportional to 5,889,408.75 and 12,457,847.25 is: 26,352,043.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889,408.75 : 12,457,847.25 = 12,457,847.25 : x
  2. Step 2: Convert to fraction form
    5,889,408.75/12,457,847.25 = 12,457,847.25/x
  3. Step 3: Cross multiply
    5,889,408.75x = 12,457,847.25 × 12,457,847.25
  4. Step 4: Simplify right side
    5,889,408.75x = 155,197,958,104,332.56
  5. Step 5: Solve for x
    x = 155,197,958,104,332.56/5,889,408.75
  6. Step 6: Final answer
    x = 26,352,043.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.