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Finding the Third Proportional to 32,529,975 and 68,414,670

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Solution

The third proportional to 32,529,975 and 68,414,670 is: 143,884,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,529,975 : 68,414,670 = 68,414,670 : x
  2. Step 2: Convert to fraction form
    32,529,975/68,414,670 = 68,414,670/x
  3. Step 3: Cross multiply
    32,529,975x = 68,414,670 × 68,414,670
  4. Step 4: Simplify right side
    32,529,975x = 4,680,567,071,208,900
  5. Step 5: Solve for x
    x = 4,680,567,071,208,900/32,529,975
  6. Step 6: Final answer
    x = 143,884,742.34

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.