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Finding the Third Proportional to 4,867,968 and 7,567,456

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Solution

The third proportional to 4,867,968 and 7,567,456 is: 11,763,920.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867,968 : 7,567,456 = 7,567,456 : x
  2. Step 2: Convert to fraction form
    4,867,968/7,567,456 = 7,567,456/x
  3. Step 3: Cross multiply
    4,867,968x = 7,567,456 × 7,567,456
  4. Step 4: Simplify right side
    4,867,968x = 57,266,390,311,936
  5. Step 5: Solve for x
    x = 57,266,390,311,936/4,867,968
  6. Step 6: Final answer
    x = 11,763,920.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.