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Finding the Third Proportional to 11,668,576 and 17,663,880

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Solution

The third proportional to 11,668,576 and 17,663,880 is: 26,739,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668,576 : 17,663,880 = 17,663,880 : x
  2. Step 2: Convert to fraction form
    11,668,576/17,663,880 = 17,663,880/x
  3. Step 3: Cross multiply
    11,668,576x = 17,663,880 × 17,663,880
  4. Step 4: Simplify right side
    11,668,576x = 312,012,656,654,400
  5. Step 5: Solve for x
    x = 312,012,656,654,400/11,668,576
  6. Step 6: Final answer
    x = 26,739,565.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.