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Finding the Third Proportional to 6,161,400 and 13,739,490

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Solution

The third proportional to 6,161,400 and 13,739,490 is: 30,638,099.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161,400 : 13,739,490 = 13,739,490 : x
  2. Step 2: Convert to fraction form
    6,161,400/13,739,490 = 13,739,490/x
  3. Step 3: Cross multiply
    6,161,400x = 13,739,490 × 13,739,490
  4. Step 4: Simplify right side
    6,161,400x = 188,773,585,460,100
  5. Step 5: Solve for x
    x = 188,773,585,460,100/6,161,400
  6. Step 6: Final answer
    x = 30,638,099.37

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.