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Finding the Third Proportional to 8,007,830 and 17,275,370

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Solution

The third proportional to 8,007,830 and 17,275,370 is: 37,268,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007,830 : 17,275,370 = 17,275,370 : x
  2. Step 2: Convert to fraction form
    8,007,830/17,275,370 = 17,275,370/x
  3. Step 3: Cross multiply
    8,007,830x = 17,275,370 × 17,275,370
  4. Step 4: Simplify right side
    8,007,830x = 298,438,408,636,900
  5. Step 5: Solve for x
    x = 298,438,408,636,900/8,007,830
  6. Step 6: Final answer
    x = 37,268,324.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.