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Finding the Third Proportional to 4,731,196 and 7,412,150

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Solution

The third proportional to 4,731,196 and 7,412,150 is: 11,612,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731,196 : 7,412,150 = 7,412,150 : x
  2. Step 2: Convert to fraction form
    4,731,196/7,412,150 = 7,412,150/x
  3. Step 3: Cross multiply
    4,731,196x = 7,412,150 × 7,412,150
  4. Step 4: Simplify right side
    4,731,196x = 54,939,967,622,500
  5. Step 5: Solve for x
    x = 54,939,967,622,500/4,731,196
  6. Step 6: Final answer
    x = 11,612,278.93

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.