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Finding the Third Proportional to 5,848,457 and 13,041,661

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Solution

The third proportional to 5,848,457 and 13,041,661 is: 29,082,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848,457 : 13,041,661 = 13,041,661 : x
  2. Step 2: Convert to fraction form
    5,848,457/13,041,661 = 13,041,661/x
  3. Step 3: Cross multiply
    5,848,457x = 13,041,661 × 13,041,661
  4. Step 4: Simplify right side
    5,848,457x = 170,084,921,638,921
  5. Step 5: Solve for x
    x = 170,084,921,638,921/5,848,457
  6. Step 6: Final answer
    x = 29,082,016.27

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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.