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Finding the Third Proportional to 5,305,687.50 and 11,368,455

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Solution

The third proportional to 5,305,687.50 and 11,368,455 is: 24,359,099.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305,687.50 : 11,368,455 = 11,368,455 : x
  2. Step 2: Convert to fraction form
    5,305,687.50/11,368,455 = 11,368,455/x
  3. Step 3: Cross multiply
    5,305,687.50x = 11,368,455 × 11,368,455
  4. Step 4: Simplify right side
    5,305,687.50x = 129,241,769,087,025
  5. Step 5: Solve for x
    x = 129,241,769,087,025/5,305,687.50
  6. Step 6: Final answer
    x = 24,359,099.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.