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Finding the Third Proportional to 12,079,138.50 and 18,294,528.38

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Solution

The third proportional to 12,079,138.50 and 18,294,528.38 is: 27,708,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079,138.50 : 18,294,528.38 = 18,294,528.38 : x
  2. Step 2: Convert to fraction form
    12,079,138.50/18,294,528.38 = 18,294,528.38/x
  3. Step 3: Cross multiply
    12,079,138.50x = 18,294,528.38 × 18,294,528.38
  4. Step 4: Simplify right side
    12,079,138.50x = 334,689,768,463,680.12
  5. Step 5: Solve for x
    x = 334,689,768,463,680.12/12,079,138.50
  6. Step 6: Final answer
    x = 27,708,082.70

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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.