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Finding the Third Proportional to 7,761,475.25 and 16,327,273.75

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Solution

The third proportional to 7,761,475.25 and 16,327,273.75 is: 34,346,546.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761,475.25 : 16,327,273.75 = 16,327,273.75 : x
  2. Step 2: Convert to fraction form
    7,761,475.25/16,327,273.75 = 16,327,273.75/x
  3. Step 3: Cross multiply
    7,761,475.25x = 16,327,273.75 × 16,327,273.75
  4. Step 4: Simplify right side
    7,761,475.25x = 266,579,868,107,439.06
  5. Step 5: Solve for x
    x = 266,579,868,107,439.06/7,761,475.25
  6. Step 6: Final answer
    x = 34,346,546.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.