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Finding the Third Proportional to 11,437,632 and 23,668,416

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Solution

The third proportional to 11,437,632 and 23,668,416 is: 48,978,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437,632 : 23,668,416 = 23,668,416 : x
  2. Step 2: Convert to fraction form
    11,437,632/23,668,416 = 23,668,416/x
  3. Step 3: Cross multiply
    11,437,632x = 23,668,416 × 23,668,416
  4. Step 4: Simplify right side
    11,437,632x = 560,193,915,949,056
  5. Step 5: Solve for x
    x = 560,193,915,949,056/11,437,632
  6. Step 6: Final answer
    x = 48,978,137.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.