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Finding the Third Proportional to 11,344,854 and 24,284,400

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Solution

The third proportional to 11,344,854 and 24,284,400 is: 51,982,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344,854 : 24,284,400 = 24,284,400 : x
  2. Step 2: Convert to fraction form
    11,344,854/24,284,400 = 24,284,400/x
  3. Step 3: Cross multiply
    11,344,854x = 24,284,400 × 24,284,400
  4. Step 4: Simplify right side
    11,344,854x = 589,732,083,360,000
  5. Step 5: Solve for x
    x = 589,732,083,360,000/11,344,854
  6. Step 6: Final answer
    x = 51,982,342.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.