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Finding the Third Proportional to 5,848,500 and 13,041,741

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Solution

The third proportional to 5,848,500 and 13,041,741 is: 29,082,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848,500 : 13,041,741 = 13,041,741 : x
  2. Step 2: Convert to fraction form
    5,848,500/13,041,741 = 13,041,741/x
  3. Step 3: Cross multiply
    5,848,500x = 13,041,741 × 13,041,741
  4. Step 4: Simplify right side
    5,848,500x = 170,087,008,311,081
  5. Step 5: Solve for x
    x = 170,087,008,311,081/5,848,500
  6. Step 6: Final answer
    x = 29,082,159.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.