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Finding the Third Proportional to 11,638,002 and 25,290,441

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Solution

The third proportional to 11,638,002 and 25,290,441 is: 54,958,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638,002 : 25,290,441 = 25,290,441 : x
  2. Step 2: Convert to fraction form
    11,638,002/25,290,441 = 25,290,441/x
  3. Step 3: Cross multiply
    11,638,002x = 25,290,441 × 25,290,441
  4. Step 4: Simplify right side
    11,638,002x = 639,606,405,974,481
  5. Step 5: Solve for x
    x = 639,606,405,974,481/11,638,002
  6. Step 6: Final answer
    x = 54,958,437.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.