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Finding the Third Proportional to 4,738,017.38 and 7,278,174

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Solution

The third proportional to 4,738,017.38 and 7,278,174 is: 11,180,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738,017.38 : 7,278,174 = 7,278,174 : x
  2. Step 2: Convert to fraction form
    4,738,017.38/7,278,174 = 7,278,174/x
  3. Step 3: Cross multiply
    4,738,017.38x = 7,278,174 × 7,278,174
  4. Step 4: Simplify right side
    4,738,017.38x = 52,971,816,774,276
  5. Step 5: Solve for x
    x = 52,971,816,774,276/4,738,017.38
  6. Step 6: Final answer
    x = 11,180,165.16

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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.