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Finding the Third Proportional to 11,650,430 and 17,475,647

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Solution

The third proportional to 11,650,430 and 17,475,647 is: 26,213,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650,430 : 17,475,647 = 17,475,647 : x
  2. Step 2: Convert to fraction form
    11,650,430/17,475,647 = 17,475,647/x
  3. Step 3: Cross multiply
    11,650,430x = 17,475,647 × 17,475,647
  4. Step 4: Simplify right side
    11,650,430x = 305,398,238,068,609
  5. Step 5: Solve for x
    x = 305,398,238,068,609/11,650,430
  6. Step 6: Final answer
    x = 26,213,473.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.