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Finding the Third Proportional to 11,200,832 and 24,428,944

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Solution

The third proportional to 11,200,832 and 24,428,944 is: 53,279,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200,832 : 24,428,944 = 24,428,944 : x
  2. Step 2: Convert to fraction form
    11,200,832/24,428,944 = 24,428,944/x
  3. Step 3: Cross multiply
    11,200,832x = 24,428,944 × 24,428,944
  4. Step 4: Simplify right side
    11,200,832x = 596,773,304,955,136
  5. Step 5: Solve for x
    x = 596,773,304,955,136/11,200,832
  6. Step 6: Final answer
    x = 53,279,372.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.