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Finding the Third Proportional to 7,879,576 and 17,253,829

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Solution

The third proportional to 7,879,576 and 17,253,829 is: 37,780,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879,576 : 17,253,829 = 17,253,829 : x
  2. Step 2: Convert to fraction form
    7,879,576/17,253,829 = 17,253,829/x
  3. Step 3: Cross multiply
    7,879,576x = 17,253,829 × 17,253,829
  4. Step 4: Simplify right side
    7,879,576x = 297,694,615,161,241
  5. Step 5: Solve for x
    x = 297,694,615,161,241/7,879,576
  6. Step 6: Final answer
    x = 37,780,537.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.