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Finding the Third Proportional to 9,843,265.50 and 15,410,034.75

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Solution

The third proportional to 9,843,265.50 and 15,410,034.75 is: 24,125,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,265.50 : 15,410,034.75 = 15,410,034.75 : x
  2. Step 2: Convert to fraction form
    9,843,265.50/15,410,034.75 = 15,410,034.75/x
  3. Step 3: Cross multiply
    9,843,265.50x = 15,410,034.75 × 15,410,034.75
  4. Step 4: Simplify right side
    9,843,265.50x = 237,469,170,996,207.56
  5. Step 5: Solve for x
    x = 237,469,170,996,207.56/9,843,265.50
  6. Step 6: Final answer
    x = 24,125,039.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.