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Finding the Third Proportional to 65,062,086 and 86,739,765

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Solution

The third proportional to 65,062,086 and 86,739,765 is: 115,640,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,062,086 : 86,739,765 = 86,739,765 : x
  2. Step 2: Convert to fraction form
    65,062,086/86,739,765 = 86,739,765/x
  3. Step 3: Cross multiply
    65,062,086x = 86,739,765 × 86,739,765
  4. Step 4: Simplify right side
    65,062,086x = 7,523,786,832,255,225
  5. Step 5: Solve for x
    x = 7,523,786,832,255,225/65,062,086
  6. Step 6: Final answer
    x = 115,640,110.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.