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Finding the Third Proportional to 5,831,448.75 and 12,725,745.75

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Solution

The third proportional to 5,831,448.75 and 12,725,745.75 is: 27,770,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831,448.75 : 12,725,745.75 = 12,725,745.75 : x
  2. Step 2: Convert to fraction form
    5,831,448.75/12,725,745.75 = 12,725,745.75/x
  3. Step 3: Cross multiply
    5,831,448.75x = 12,725,745.75 × 12,725,745.75
  4. Step 4: Simplify right side
    5,831,448.75x = 161,944,604,893,643.06
  5. Step 5: Solve for x
    x = 161,944,604,893,643.06/5,831,448.75
  6. Step 6: Final answer
    x = 27,770,904.25

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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.