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Finding the Third Proportional to 5,347,723.50 and 11,675,406

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Solution

The third proportional to 5,347,723.50 and 11,675,406 is: 25,490,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347,723.50 : 11,675,406 = 11,675,406 : x
  2. Step 2: Convert to fraction form
    5,347,723.50/11,675,406 = 11,675,406/x
  3. Step 3: Cross multiply
    5,347,723.50x = 11,675,406 × 11,675,406
  4. Step 4: Simplify right side
    5,347,723.50x = 136,315,105,264,836
  5. Step 5: Solve for x
    x = 136,315,105,264,836/5,347,723.50
  6. Step 6: Final answer
    x = 25,490,305.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.