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Finding the Third Proportional to 7,544,628 and 11,966,247

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Solution

The third proportional to 7,544,628 and 11,966,247 is: 18,979,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544,628 : 11,966,247 = 11,966,247 : x
  2. Step 2: Convert to fraction form
    7,544,628/11,966,247 = 11,966,247/x
  3. Step 3: Cross multiply
    7,544,628x = 11,966,247 × 11,966,247
  4. Step 4: Simplify right side
    7,544,628x = 143,191,067,265,009
  5. Step 5: Solve for x
    x = 143,191,067,265,009/7,544,628
  6. Step 6: Final answer
    x = 18,979,208.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.