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Finding the Third Proportional to 7,674,198.19 and 11,591,262

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Solution

The third proportional to 7,674,198.19 and 11,591,262 is: 17,507,673.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674,198.19 : 11,591,262 = 11,591,262 : x
  2. Step 2: Convert to fraction form
    7,674,198.19/11,591,262 = 11,591,262/x
  3. Step 3: Cross multiply
    7,674,198.19x = 11,591,262 × 11,591,262
  4. Step 4: Simplify right side
    7,674,198.19x = 134,357,354,752,644
  5. Step 5: Solve for x
    x = 134,357,354,752,644/7,674,198.19
  6. Step 6: Final answer
    x = 17,507,673.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.