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Finding the Third Proportional to 6,524,080 and 13,643,024

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Solution

The third proportional to 6,524,080 and 13,643,024 is: 28,530,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524,080 : 13,643,024 = 13,643,024 : x
  2. Step 2: Convert to fraction form
    6,524,080/13,643,024 = 13,643,024/x
  3. Step 3: Cross multiply
    6,524,080x = 13,643,024 × 13,643,024
  4. Step 4: Simplify right side
    6,524,080x = 186,132,103,864,576
  5. Step 5: Solve for x
    x = 186,132,103,864,576/6,524,080
  6. Step 6: Final answer
    x = 28,530,015.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.