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Finding the Third Proportional to 17,110,400 and 38,046,384

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Solution

The third proportional to 17,110,400 and 38,046,384 is: 84,599,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,110,400 : 38,046,384 = 38,046,384 : x
  2. Step 2: Convert to fraction form
    17,110,400/38,046,384 = 38,046,384/x
  3. Step 3: Cross multiply
    17,110,400x = 38,046,384 × 38,046,384
  4. Step 4: Simplify right side
    17,110,400x = 1,447,527,335,475,456
  5. Step 5: Solve for x
    x = 1,447,527,335,475,456/17,110,400
  6. Step 6: Final answer
    x = 84,599,269.19

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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.