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Finding the Third Proportional to 11,190,978 and 24,146,136

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Solution

The third proportional to 11,190,978 and 24,146,136 is: 52,098,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,190,978 : 24,146,136 = 24,146,136 : x
  2. Step 2: Convert to fraction form
    11,190,978/24,146,136 = 24,146,136/x
  3. Step 3: Cross multiply
    11,190,978x = 24,146,136 × 24,146,136
  4. Step 4: Simplify right side
    11,190,978x = 583,035,883,730,496
  5. Step 5: Solve for x
    x = 583,035,883,730,496/11,190,978
  6. Step 6: Final answer
    x = 52,098,742.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.