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Finding the Third Proportional to 18,625,523.25 and 27,823,579.50

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Solution

The third proportional to 18,625,523.25 and 27,823,579.50 is: 41,564,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,625,523.25 : 27,823,579.50 = 27,823,579.50 : x
  2. Step 2: Convert to fraction form
    18,625,523.25/27,823,579.50 = 27,823,579.50/x
  3. Step 3: Cross multiply
    18,625,523.25x = 27,823,579.50 × 27,823,579.50
  4. Step 4: Simplify right side
    18,625,523.25x = 774,151,576,192,820.25
  5. Step 5: Solve for x
    x = 774,151,576,192,820.25/18,625,523.25
  6. Step 6: Final answer
    x = 41,564,017.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.