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Finding the Third Proportional to 36,895,563 and 85,415,040

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Solution

The third proportional to 36,895,563 and 85,415,040 is: 197,740,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,895,563 : 85,415,040 = 85,415,040 : x
  2. Step 2: Convert to fraction form
    36,895,563/85,415,040 = 85,415,040/x
  3. Step 3: Cross multiply
    36,895,563x = 85,415,040 × 85,415,040
  4. Step 4: Simplify right side
    36,895,563x = 7,295,729,058,201,600
  5. Step 5: Solve for x
    x = 7,295,729,058,201,600/36,895,563
  6. Step 6: Final answer
    x = 197,740,011.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.