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Finding the Third Proportional to 7,261,340 and 15,643,016

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Solution

The third proportional to 7,261,340 and 15,643,016 is: 33,699,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261,340 : 15,643,016 = 15,643,016 : x
  2. Step 2: Convert to fraction form
    7,261,340/15,643,016 = 15,643,016/x
  3. Step 3: Cross multiply
    7,261,340x = 15,643,016 × 15,643,016
  4. Step 4: Simplify right side
    7,261,340x = 244,703,949,576,256
  5. Step 5: Solve for x
    x = 244,703,949,576,256/7,261,340
  6. Step 6: Final answer
    x = 33,699,558.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.