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Finding the Third Proportional to 5,415,322 and 11,764,328

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Solution

The third proportional to 5,415,322 and 11,764,328 is: 25,557,005.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415,322 : 11,764,328 = 11,764,328 : x
  2. Step 2: Convert to fraction form
    5,415,322/11,764,328 = 11,764,328/x
  3. Step 3: Cross multiply
    5,415,322x = 11,764,328 × 11,764,328
  4. Step 4: Simplify right side
    5,415,322x = 138,399,413,291,584
  5. Step 5: Solve for x
    x = 138,399,413,291,584/5,415,322
  6. Step 6: Final answer
    x = 25,557,005.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.