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Finding the Third Proportional to 13,674,228.89 and 20,858,620.71

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Solution

The third proportional to 13,674,228.89 and 20,858,620.71 is: 31,817,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674,228.89 : 20,858,620.71 = 20,858,620.71 : x
  2. Step 2: Convert to fraction form
    13,674,228.89/20,858,620.71 = 20,858,620.71/x
  3. Step 3: Cross multiply
    13,674,228.89x = 20,858,620.71 × 20,858,620.71
  4. Step 4: Simplify right side
    13,674,228.89x = 435,082,057,962,771.62
  5. Step 5: Solve for x
    x = 435,082,057,962,771.62/13,674,228.89
  6. Step 6: Final answer
    x = 31,817,666.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.