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Finding the Third Proportional to 5,848,422 and 13,041,583.50

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Solution

The third proportional to 5,848,422 and 13,041,583.50 is: 29,081,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848,422 : 13,041,583.50 = 13,041,583.50 : x
  2. Step 2: Convert to fraction form
    5,848,422/13,041,583.50 = 13,041,583.50/x
  3. Step 3: Cross multiply
    5,848,422x = 13,041,583.50 × 13,041,583.50
  4. Step 4: Simplify right side
    5,848,422x = 170,082,900,187,472.25
  5. Step 5: Solve for x
    x = 170,082,900,187,472.25/5,848,422
  6. Step 6: Final answer
    x = 29,081,844.67

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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.