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Finding the Third Proportional to 12,048,309 and 18,098,716.50

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Solution

The third proportional to 12,048,309 and 18,098,716.50 is: 27,187,511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048,309 : 18,098,716.50 = 18,098,716.50 : x
  2. Step 2: Convert to fraction form
    12,048,309/18,098,716.50 = 18,098,716.50/x
  3. Step 3: Cross multiply
    12,048,309x = 18,098,716.50 × 18,098,716.50
  4. Step 4: Simplify right side
    12,048,309x = 327,563,538,947,372.25
  5. Step 5: Solve for x
    x = 327,563,538,947,372.25/12,048,309
  6. Step 6: Final answer
    x = 27,187,511.45

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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.