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Finding the Third Proportional to 2,466,726.75 and 5,942,625.75

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Solution

The third proportional to 2,466,726.75 and 5,942,625.75 is: 14,316,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,726.75 : 5,942,625.75 = 5,942,625.75 : x
  2. Step 2: Convert to fraction form
    2,466,726.75/5,942,625.75 = 5,942,625.75/x
  3. Step 3: Cross multiply
    2,466,726.75x = 5,942,625.75 × 5,942,625.75
  4. Step 4: Simplify right side
    2,466,726.75x = 35,314,800,804,563.06
  5. Step 5: Solve for x
    x = 35,314,800,804,563.06/2,466,726.75
  6. Step 6: Final answer
    x = 14,316,462.42

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.