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Finding the Third Proportional to 4,741,641 and 6,775,701.75

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Solution

The third proportional to 4,741,641 and 6,775,701.75 is: 9,682,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741,641 : 6,775,701.75 = 6,775,701.75 : x
  2. Step 2: Convert to fraction form
    4,741,641/6,775,701.75 = 6,775,701.75/x
  3. Step 3: Cross multiply
    4,741,641x = 6,775,701.75 × 6,775,701.75
  4. Step 4: Simplify right side
    4,741,641x = 45,910,134,204,953.06
  5. Step 5: Solve for x
    x = 45,910,134,204,953.06/4,741,641
  6. Step 6: Final answer
    x = 9,682,330.27

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.