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Finding the Third Proportional to 11,650,416 and 17,475,624.75

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Solution

The third proportional to 11,650,416 and 17,475,624.75 is: 26,213,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650,416 : 17,475,624.75 = 17,475,624.75 : x
  2. Step 2: Convert to fraction form
    11,650,416/17,475,624.75 = 17,475,624.75/x
  3. Step 3: Cross multiply
    11,650,416x = 17,475,624.75 × 17,475,624.75
  4. Step 4: Simplify right side
    11,650,416x = 305,397,460,402,812.56
  5. Step 5: Solve for x
    x = 305,397,460,402,812.56/11,650,416
  6. Step 6: Final answer
    x = 26,213,438.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.