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Finding the Third Proportional to 11,410,284 and 25,371,743

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Solution

The third proportional to 11,410,284 and 25,371,743 is: 56,416,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410,284 : 25,371,743 = 25,371,743 : x
  2. Step 2: Convert to fraction form
    11,410,284/25,371,743 = 25,371,743/x
  3. Step 3: Cross multiply
    11,410,284x = 25,371,743 × 25,371,743
  4. Step 4: Simplify right side
    11,410,284x = 643,725,342,858,049
  5. Step 5: Solve for x
    x = 643,725,342,858,049/11,410,284
  6. Step 6: Final answer
    x = 56,416,241.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.