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Finding the Third Proportional to 7,826,091.75 and 10,291,275

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Solution

The third proportional to 7,826,091.75 and 10,291,275 is: 13,532,979.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826,091.75 : 10,291,275 = 10,291,275 : x
  2. Step 2: Convert to fraction form
    7,826,091.75/10,291,275 = 10,291,275/x
  3. Step 3: Cross multiply
    7,826,091.75x = 10,291,275 × 10,291,275
  4. Step 4: Simplify right side
    7,826,091.75x = 105,910,341,125,625
  5. Step 5: Solve for x
    x = 105,910,341,125,625/7,826,091.75
  6. Step 6: Final answer
    x = 13,532,979.74

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.