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Finding the Third Proportional to 8,527,733 and 17,398,024

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Solution

The third proportional to 8,527,733 and 17,398,024 is: 35,494,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527,733 : 17,398,024 = 17,398,024 : x
  2. Step 2: Convert to fraction form
    8,527,733/17,398,024 = 17,398,024/x
  3. Step 3: Cross multiply
    8,527,733x = 17,398,024 × 17,398,024
  4. Step 4: Simplify right side
    8,527,733x = 302,691,239,104,576
  5. Step 5: Solve for x
    x = 302,691,239,104,576/8,527,733
  6. Step 6: Final answer
    x = 35,494,924.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.