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Finding the Third Proportional to 8,157,570.75 and 11,039,748.19

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Solution

The third proportional to 8,157,570.75 and 11,039,748.19 is: 14,940,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157,570.75 : 11,039,748.19 = 11,039,748.19 : x
  2. Step 2: Convert to fraction form
    8,157,570.75/11,039,748.19 = 11,039,748.19/x
  3. Step 3: Cross multiply
    8,157,570.75x = 11,039,748.19 × 11,039,748.19
  4. Step 4: Simplify right side
    8,157,570.75x = 121,876,040,043,409.53
  5. Step 5: Solve for x
    x = 121,876,040,043,409.53/8,157,570.75
  6. Step 6: Final answer
    x = 14,940,236.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.