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Finding the Third Proportional to 4,632,415.31 and 6,682,872.09

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Solution

The third proportional to 4,632,415.31 and 6,682,872.09 is: 9,640,927.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632,415.31 : 6,682,872.09 = 6,682,872.09 : x
  2. Step 2: Convert to fraction form
    4,632,415.31/6,682,872.09 = 6,682,872.09/x
  3. Step 3: Cross multiply
    4,632,415.31x = 6,682,872.09 × 6,682,872.09
  4. Step 4: Simplify right side
    4,632,415.31x = 44,660,779,421,422.51
  5. Step 5: Solve for x
    x = 44,660,779,421,422.51/4,632,415.31
  6. Step 6: Final answer
    x = 9,640,927.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.