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Finding the Third Proportional to 8,527,725 and 17,398,008

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Solution

The third proportional to 8,527,725 and 17,398,008 is: 35,494,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527,725 : 17,398,008 = 17,398,008 : x
  2. Step 2: Convert to fraction form
    8,527,725/17,398,008 = 17,398,008/x
  3. Step 3: Cross multiply
    8,527,725x = 17,398,008 × 17,398,008
  4. Step 4: Simplify right side
    8,527,725x = 302,690,682,368,064
  5. Step 5: Solve for x
    x = 302,690,682,368,064/8,527,725
  6. Step 6: Final answer
    x = 35,494,892.53

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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.