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Finding the Third Proportional to 10,420,996 and 21,961,736

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Solution

The third proportional to 10,420,996 and 21,961,736 is: 46,283,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420,996 : 21,961,736 = 21,961,736 : x
  2. Step 2: Convert to fraction form
    10,420,996/21,961,736 = 21,961,736/x
  3. Step 3: Cross multiply
    10,420,996x = 21,961,736 × 21,961,736
  4. Step 4: Simplify right side
    10,420,996x = 482,317,848,133,696
  5. Step 5: Solve for x
    x = 482,317,848,133,696/10,420,996
  6. Step 6: Final answer
    x = 46,283,277.35

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.