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Finding the Third Proportional to 5,177,961.50 and 7,766,943

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Solution

The third proportional to 5,177,961.50 and 7,766,943 is: 11,650,415.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177,961.50 : 7,766,943 = 7,766,943 : x
  2. Step 2: Convert to fraction form
    5,177,961.50/7,766,943 = 7,766,943/x
  3. Step 3: Cross multiply
    5,177,961.50x = 7,766,943 × 7,766,943
  4. Step 4: Simplify right side
    5,177,961.50x = 60,325,403,565,249
  5. Step 5: Solve for x
    x = 60,325,403,565,249/5,177,961.50
  6. Step 6: Final answer
    x = 11,650,415.63

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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.