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Finding the Third Proportional to 11,209,635 and 23,313,913

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Solution

The third proportional to 11,209,635 and 23,313,913 is: 48,488,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209,635 : 23,313,913 = 23,313,913 : x
  2. Step 2: Convert to fraction form
    11,209,635/23,313,913 = 23,313,913/x
  3. Step 3: Cross multiply
    11,209,635x = 23,313,913 × 23,313,913
  4. Step 4: Simplify right side
    11,209,635x = 543,538,539,371,569
  5. Step 5: Solve for x
    x = 543,538,539,371,569/11,209,635
  6. Step 6: Final answer
    x = 48,488,513.62

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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.