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Finding the Third Proportional to 5,858,163 and 12,001,729.50

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Solution

The third proportional to 5,858,163 and 12,001,729.50 is: 24,588,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858,163 : 12,001,729.50 = 12,001,729.50 : x
  2. Step 2: Convert to fraction form
    5,858,163/12,001,729.50 = 12,001,729.50/x
  3. Step 3: Cross multiply
    5,858,163x = 12,001,729.50 × 12,001,729.50
  4. Step 4: Simplify right side
    5,858,163x = 144,041,510,991,170.25
  5. Step 5: Solve for x
    x = 144,041,510,991,170.25/5,858,163
  6. Step 6: Final answer
    x = 24,588,170.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.