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Finding the Third Proportional to 4,947,197 and 7,567,929

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Solution

The third proportional to 4,947,197 and 7,567,929 is: 11,576,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947,197 : 7,567,929 = 7,567,929 : x
  2. Step 2: Convert to fraction form
    4,947,197/7,567,929 = 7,567,929/x
  3. Step 3: Cross multiply
    4,947,197x = 7,567,929 × 7,567,929
  4. Step 4: Simplify right side
    4,947,197x = 57,273,549,349,041
  5. Step 5: Solve for x
    x = 57,273,549,349,041/4,947,197
  6. Step 6: Final answer
    x = 11,576,969.62

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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.