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Finding the Third Proportional to 7,487,198 and 11,501,254

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Solution

The third proportional to 7,487,198 and 11,501,254 is: 17,667,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487,198 : 11,501,254 = 11,501,254 : x
  2. Step 2: Convert to fraction form
    7,487,198/11,501,254 = 11,501,254/x
  3. Step 3: Cross multiply
    7,487,198x = 11,501,254 × 11,501,254
  4. Step 4: Simplify right side
    7,487,198x = 132,278,843,572,516
  5. Step 5: Solve for x
    x = 132,278,843,572,516/7,487,198
  6. Step 6: Final answer
    x = 17,667,336.11

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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.