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Finding the Third Proportional to 4,947,196 and 7,567,927

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Solution

The third proportional to 4,947,196 and 7,567,927 is: 11,576,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947,196 : 7,567,927 = 7,567,927 : x
  2. Step 2: Convert to fraction form
    4,947,196/7,567,927 = 7,567,927/x
  3. Step 3: Cross multiply
    4,947,196x = 7,567,927 × 7,567,927
  4. Step 4: Simplify right side
    4,947,196x = 57,273,519,077,329
  5. Step 5: Solve for x
    x = 57,273,519,077,329/4,947,196
  6. Step 6: Final answer
    x = 11,576,965.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.