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Finding the Third Proportional to 5,848,461 and 13,041,675

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Solution

The third proportional to 5,848,461 and 13,041,675 is: 29,082,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848,461 : 13,041,675 = 13,041,675 : x
  2. Step 2: Convert to fraction form
    5,848,461/13,041,675 = 13,041,675/x
  3. Step 3: Cross multiply
    5,848,461x = 13,041,675 × 13,041,675
  4. Step 4: Simplify right side
    5,848,461x = 170,085,286,805,625
  5. Step 5: Solve for x
    x = 170,085,286,805,625/5,848,461
  6. Step 6: Final answer
    x = 29,082,058.82

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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.