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Finding the Third Proportional to 3,864,323.81 and 5,248,128.38

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Solution

The third proportional to 3,864,323.81 and 5,248,128.38 is: 7,127,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864,323.81 : 5,248,128.38 = 5,248,128.38 : x
  2. Step 2: Convert to fraction form
    3,864,323.81/5,248,128.38 = 5,248,128.38/x
  3. Step 3: Cross multiply
    3,864,323.81x = 5,248,128.38 × 5,248,128.38
  4. Step 4: Simplify right side
    3,864,323.81x = 27,542,851,440,480.14
  5. Step 5: Solve for x
    x = 27,542,851,440,480.14/3,864,323.81
  6. Step 6: Final answer
    x = 7,127,469.84

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.