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Finding the Third Proportional to 5,848,409 and 13,041,559

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Solution

The third proportional to 5,848,409 and 13,041,559 is: 29,081,800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848,409 : 13,041,559 = 13,041,559 : x
  2. Step 2: Convert to fraction form
    5,848,409/13,041,559 = 13,041,559/x
  3. Step 3: Cross multiply
    5,848,409x = 13,041,559 × 13,041,559
  4. Step 4: Simplify right side
    5,848,409x = 170,082,261,150,481
  5. Step 5: Solve for x
    x = 170,082,261,150,481/5,848,409
  6. Step 6: Final answer
    x = 29,081,800.05

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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.