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Finding the Third Proportional to 2,545,464 and 5,489,237.25

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Solution

The third proportional to 2,545,464 and 5,489,237.25 is: 11,837,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545,464 : 5,489,237.25 = 5,489,237.25 : x
  2. Step 2: Convert to fraction form
    2,545,464/5,489,237.25 = 5,489,237.25/x
  3. Step 3: Cross multiply
    2,545,464x = 5,489,237.25 × 5,489,237.25
  4. Step 4: Simplify right side
    2,545,464x = 30,131,725,586,787.56
  5. Step 5: Solve for x
    x = 30,131,725,586,787.56/2,545,464
  6. Step 6: Final answer
    x = 11,837,419.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.