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Finding the Third Proportional to 6,314,181 and 13,638,753

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Solution

The third proportional to 6,314,181 and 13,638,753 is: 29,459,970.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314,181 : 13,638,753 = 13,638,753 : x
  2. Step 2: Convert to fraction form
    6,314,181/13,638,753 = 13,638,753/x
  3. Step 3: Cross multiply
    6,314,181x = 13,638,753 × 13,638,753
  4. Step 4: Simplify right side
    6,314,181x = 186,015,583,395,009
  5. Step 5: Solve for x
    x = 186,015,583,395,009/6,314,181
  6. Step 6: Final answer
    x = 29,459,970.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.