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Finding the Third Proportional to 29,699,489 and 47,258,198

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Solution

The third proportional to 29,699,489 and 47,258,198 is: 75,197,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,699,489 : 47,258,198 = 47,258,198 : x
  2. Step 2: Convert to fraction form
    29,699,489/47,258,198 = 47,258,198/x
  3. Step 3: Cross multiply
    29,699,489x = 47,258,198 × 47,258,198
  4. Step 4: Simplify right side
    29,699,489x = 2,233,337,278,207,204
  5. Step 5: Solve for x
    x = 2,233,337,278,207,204/29,699,489
  6. Step 6: Final answer
    x = 75,197,835.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.