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Finding the Third Proportional to 4,674,241.50 and 7,180,206

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Solution

The third proportional to 4,674,241.50 and 7,180,206 is: 11,029,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674,241.50 : 7,180,206 = 7,180,206 : x
  2. Step 2: Convert to fraction form
    4,674,241.50/7,180,206 = 7,180,206/x
  3. Step 3: Cross multiply
    4,674,241.50x = 7,180,206 × 7,180,206
  4. Step 4: Simplify right side
    4,674,241.50x = 51,555,358,202,436
  5. Step 5: Solve for x
    x = 51,555,358,202,436/4,674,241.50
  6. Step 6: Final answer
    x = 11,029,673.63

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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.