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Finding the Third Proportional to 7,268,634 and 11,206,215

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Solution

The third proportional to 7,268,634 and 11,206,215 is: 17,276,871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268,634 : 11,206,215 = 11,206,215 : x
  2. Step 2: Convert to fraction form
    7,268,634/11,206,215 = 11,206,215/x
  3. Step 3: Cross multiply
    7,268,634x = 11,206,215 × 11,206,215
  4. Step 4: Simplify right side
    7,268,634x = 125,579,254,626,225
  5. Step 5: Solve for x
    x = 125,579,254,626,225/7,268,634
  6. Step 6: Final answer
    x = 17,276,871.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.