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Finding the Third Proportional to 4,674,205 and 7,180,151

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Solution

The third proportional to 4,674,205 and 7,180,151 is: 11,029,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674,205 : 7,180,151 = 7,180,151 : x
  2. Step 2: Convert to fraction form
    4,674,205/7,180,151 = 7,180,151/x
  3. Step 3: Cross multiply
    4,674,205x = 7,180,151 × 7,180,151
  4. Step 4: Simplify right side
    4,674,205x = 51,554,568,382,801
  5. Step 5: Solve for x
    x = 51,554,568,382,801/4,674,205
  6. Step 6: Final answer
    x = 11,029,590.78

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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.