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Finding the Third Proportional to 7,837,668 and 11,874,636

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Solution

The third proportional to 7,837,668 and 11,874,636 is: 17,990,935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837,668 : 11,874,636 = 11,874,636 : x
  2. Step 2: Convert to fraction form
    7,837,668/11,874,636 = 11,874,636/x
  3. Step 3: Cross multiply
    7,837,668x = 11,874,636 × 11,874,636
  4. Step 4: Simplify right side
    7,837,668x = 141,006,980,132,496
  5. Step 5: Solve for x
    x = 141,006,980,132,496/7,837,668
  6. Step 6: Final answer
    x = 17,990,935.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.