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Finding the Third Proportional to 18,178,064 and 27,202,690

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Solution

The third proportional to 18,178,064 and 27,202,690 is: 40,707,654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,178,064 : 27,202,690 = 27,202,690 : x
  2. Step 2: Convert to fraction form
    18,178,064/27,202,690 = 27,202,690/x
  3. Step 3: Cross multiply
    18,178,064x = 27,202,690 × 27,202,690
  4. Step 4: Simplify right side
    18,178,064x = 739,986,343,236,100
  5. Step 5: Solve for x
    x = 739,986,343,236,100/18,178,064
  6. Step 6: Final answer
    x = 40,707,654.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.