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Finding the Third Proportional to 30,940,497 and 65,569,167

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Solution

The third proportional to 30,940,497 and 65,569,167 is: 138,954,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940,497 : 65,569,167 = 65,569,167 : x
  2. Step 2: Convert to fraction form
    30,940,497/65,569,167 = 65,569,167/x
  3. Step 3: Cross multiply
    30,940,497x = 65,569,167 × 65,569,167
  4. Step 4: Simplify right side
    30,940,497x = 4,299,315,661,073,889
  5. Step 5: Solve for x
    x = 4,299,315,661,073,889/30,940,497
  6. Step 6: Final answer
    x = 138,954,318.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.