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Finding the Third Proportional to 11,209,633 and 23,313,909

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Solution

The third proportional to 11,209,633 and 23,313,909 is: 48,488,505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209,633 : 23,313,909 = 23,313,909 : x
  2. Step 2: Convert to fraction form
    11,209,633/23,313,909 = 23,313,909/x
  3. Step 3: Cross multiply
    11,209,633x = 23,313,909 × 23,313,909
  4. Step 4: Simplify right side
    11,209,633x = 543,538,352,860,281
  5. Step 5: Solve for x
    x = 543,538,352,860,281/11,209,633
  6. Step 6: Final answer
    x = 48,488,505.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.