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Finding the Third Proportional to 70,359,978 and 107,632,435

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Solution

The third proportional to 70,359,978 and 107,632,435 is: 164,649,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,359,978 : 107,632,435 = 107,632,435 : x
  2. Step 2: Convert to fraction form
    70,359,978/107,632,435 = 107,632,435/x
  3. Step 3: Cross multiply
    70,359,978x = 107,632,435 × 107,632,435
  4. Step 4: Simplify right side
    70,359,978x = 11,584,741,064,029,224
  5. Step 5: Solve for x
    x = 11,584,741,064,029,224/70,359,978
  6. Step 6: Final answer
    x = 164,649,583.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.