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Finding the Third Proportional to 12,053,427 and 18,188,824.50

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Solution

The third proportional to 12,053,427 and 18,188,824.50 is: 27,447,242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053,427 : 18,188,824.50 = 18,188,824.50 : x
  2. Step 2: Convert to fraction form
    12,053,427/18,188,824.50 = 18,188,824.50/x
  3. Step 3: Cross multiply
    12,053,427x = 18,188,824.50 × 18,188,824.50
  4. Step 4: Simplify right side
    12,053,427x = 330,833,336,691,800.25
  5. Step 5: Solve for x
    x = 330,833,336,691,800.25/12,053,427
  6. Step 6: Final answer
    x = 27,447,242.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.