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Finding the Third Proportional to 8,226,151 and 17,825,191

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Solution

The third proportional to 8,226,151 and 17,825,191 is: 38,625,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226,151 : 17,825,191 = 17,825,191 : x
  2. Step 2: Convert to fraction form
    8,226,151/17,825,191 = 17,825,191/x
  3. Step 3: Cross multiply
    8,226,151x = 17,825,191 × 17,825,191
  4. Step 4: Simplify right side
    8,226,151x = 317,737,434,186,481
  5. Step 5: Solve for x
    x = 317,737,434,186,481/8,226,151
  6. Step 6: Final answer
    x = 38,625,285.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.