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Finding the Third Proportional to 11,573,498 and 24,741,400

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Solution

The third proportional to 11,573,498 and 24,741,400 is: 52,891,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573,498 : 24,741,400 = 24,741,400 : x
  2. Step 2: Convert to fraction form
    11,573,498/24,741,400 = 24,741,400/x
  3. Step 3: Cross multiply
    11,573,498x = 24,741,400 × 24,741,400
  4. Step 4: Simplify right side
    11,573,498x = 612,136,873,960,000
  5. Step 5: Solve for x
    x = 612,136,873,960,000/11,573,498
  6. Step 6: Final answer
    x = 52,891,258.46

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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.