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Finding the Third Proportional to 3,269,170.13 and 5,102,438.06

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Solution

The third proportional to 3,269,170.13 and 5,102,438.06 is: 7,963,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269,170.13 : 5,102,438.06 = 5,102,438.06 : x
  2. Step 2: Convert to fraction form
    3,269,170.13/5,102,438.06 = 5,102,438.06/x
  3. Step 3: Cross multiply
    3,269,170.13x = 5,102,438.06 × 5,102,438.06
  4. Step 4: Simplify right side
    3,269,170.13x = 26,034,874,181,648.75
  5. Step 5: Solve for x
    x = 26,034,874,181,648.75/3,269,170.13
  6. Step 6: Final answer
    x = 7,963,756.30

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.