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Finding the Third Proportional to 6,974,140.50 and 15,049,233

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Solution

The third proportional to 6,974,140.50 and 15,049,233 is: 32,474,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974,140.50 : 15,049,233 = 15,049,233 : x
  2. Step 2: Convert to fraction form
    6,974,140.50/15,049,233 = 15,049,233/x
  3. Step 3: Cross multiply
    6,974,140.50x = 15,049,233 × 15,049,233
  4. Step 4: Simplify right side
    6,974,140.50x = 226,479,413,888,289
  5. Step 5: Solve for x
    x = 226,479,413,888,289/6,974,140.50
  6. Step 6: Final answer
    x = 32,474,168.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.