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Finding the Third Proportional to 3,982,432 and 8,739,007

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Solution

The third proportional to 3,982,432 and 8,739,007 is: 19,176,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982,432 : 8,739,007 = 8,739,007 : x
  2. Step 2: Convert to fraction form
    3,982,432/8,739,007 = 8,739,007/x
  3. Step 3: Cross multiply
    3,982,432x = 8,739,007 × 8,739,007
  4. Step 4: Simplify right side
    3,982,432x = 76,370,243,346,049
  5. Step 5: Solve for x
    x = 76,370,243,346,049/3,982,432
  6. Step 6: Final answer
    x = 19,176,785.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.