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Finding the Third Proportional to 8,524,032 and 18,258,744

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Solution

The third proportional to 8,524,032 and 18,258,744 is: 39,110,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524,032 : 18,258,744 = 18,258,744 : x
  2. Step 2: Convert to fraction form
    8,524,032/18,258,744 = 18,258,744/x
  3. Step 3: Cross multiply
    8,524,032x = 18,258,744 × 18,258,744
  4. Step 4: Simplify right side
    8,524,032x = 333,381,732,457,536
  5. Step 5: Solve for x
    x = 333,381,732,457,536/8,524,032
  6. Step 6: Final answer
    x = 39,110,802.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.