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Finding the Third Proportional to 10,769,296 and 15,984,846

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Solution

The third proportional to 10,769,296 and 15,984,846 is: 23,726,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769,296 : 15,984,846 = 15,984,846 : x
  2. Step 2: Convert to fraction form
    10,769,296/15,984,846 = 15,984,846/x
  3. Step 3: Cross multiply
    10,769,296x = 15,984,846 × 15,984,846
  4. Step 4: Simplify right side
    10,769,296x = 255,515,301,643,716
  5. Step 5: Solve for x
    x = 255,515,301,643,716/10,769,296
  6. Step 6: Final answer
    x = 23,726,277.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.