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Finding the Third Proportional to 7,263,497.25 and 10,856,477.25

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Solution

The third proportional to 7,263,497.25 and 10,856,477.25 is: 16,226,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263,497.25 : 10,856,477.25 = 10,856,477.25 : x
  2. Step 2: Convert to fraction form
    7,263,497.25/10,856,477.25 = 10,856,477.25/x
  3. Step 3: Cross multiply
    7,263,497.25x = 10,856,477.25 × 10,856,477.25
  4. Step 4: Simplify right side
    7,263,497.25x = 117,863,098,279,767.56
  5. Step 5: Solve for x
    x = 117,863,098,279,767.56/7,263,497.25
  6. Step 6: Final answer
    x = 16,226,769.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.