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Finding the Third Proportional to 7,728,647.63 and 10,496,256.75

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Solution

The third proportional to 7,728,647.63 and 10,496,256.75 is: 14,254,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728,647.63 : 10,496,256.75 = 10,496,256.75 : x
  2. Step 2: Convert to fraction form
    7,728,647.63/10,496,256.75 = 10,496,256.75/x
  3. Step 3: Cross multiply
    7,728,647.63x = 10,496,256.75 × 10,496,256.75
  4. Step 4: Simplify right side
    7,728,647.63x = 110,171,405,761,920.56
  5. Step 5: Solve for x
    x = 110,171,405,761,920.56/7,728,647.63
  6. Step 6: Final answer
    x = 14,254,939.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.