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Finding the Third Proportional to 3,327,666.05 and 5,111,704.13

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Solution

The third proportional to 3,327,666.05 and 5,111,704.13 is: 7,852,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327,666.05 : 5,111,704.13 = 5,111,704.13 : x
  2. Step 2: Convert to fraction form
    3,327,666.05/5,111,704.13 = 5,111,704.13/x
  3. Step 3: Cross multiply
    3,327,666.05x = 5,111,704.13 × 5,111,704.13
  4. Step 4: Simplify right side
    3,327,666.05x = 26,129,519,061,542.02
  5. Step 5: Solve for x
    x = 26,129,519,061,542.02/3,327,666.05
  6. Step 6: Final answer
    x = 7,852,205.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.