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Finding the Third Proportional to 3,742,384 and 8,083,034

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Solution

The third proportional to 3,742,384 and 8,083,034 is: 17,458,240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742,384 : 8,083,034 = 8,083,034 : x
  2. Step 2: Convert to fraction form
    3,742,384/8,083,034 = 8,083,034/x
  3. Step 3: Cross multiply
    3,742,384x = 8,083,034 × 8,083,034
  4. Step 4: Simplify right side
    3,742,384x = 65,335,438,645,156
  5. Step 5: Solve for x
    x = 65,335,438,645,156/3,742,384
  6. Step 6: Final answer
    x = 17,458,240.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.