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Finding the Third Proportional to 4,464,168.75 and 6,678,893.25

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Solution

The third proportional to 4,464,168.75 and 6,678,893.25 is: 9,992,367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464,168.75 : 6,678,893.25 = 6,678,893.25 : x
  2. Step 2: Convert to fraction form
    4,464,168.75/6,678,893.25 = 6,678,893.25/x
  3. Step 3: Cross multiply
    4,464,168.75x = 6,678,893.25 × 6,678,893.25
  4. Step 4: Simplify right side
    4,464,168.75x = 44,607,615,044,895.56
  5. Step 5: Solve for x
    x = 44,607,615,044,895.56/4,464,168.75
  6. Step 6: Final answer
    x = 9,992,367.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.