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Finding the Third Proportional to 7,961,064 and 11,929,086

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Solution

The third proportional to 7,961,064 and 11,929,086 is: 17,874,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961,064 : 11,929,086 = 11,929,086 : x
  2. Step 2: Convert to fraction form
    7,961,064/11,929,086 = 11,929,086/x
  3. Step 3: Cross multiply
    7,961,064x = 11,929,086 × 11,929,086
  4. Step 4: Simplify right side
    7,961,064x = 142,303,092,795,396
  5. Step 5: Solve for x
    x = 142,303,092,795,396/7,961,064
  6. Step 6: Final answer
    x = 17,874,883.66

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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.