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Finding the Third Proportional to 32,504,775 and 67,699,971

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Solution

The third proportional to 32,504,775 and 67,699,971 is: 141,003,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,504,775 : 67,699,971 = 67,699,971 : x
  2. Step 2: Convert to fraction form
    32,504,775/67,699,971 = 67,699,971/x
  3. Step 3: Cross multiply
    32,504,775x = 67,699,971 × 67,699,971
  4. Step 4: Simplify right side
    32,504,775x = 4,583,286,073,400,841
  5. Step 5: Solve for x
    x = 4,583,286,073,400,841/32,504,775
  6. Step 6: Final answer
    x = 141,003,470.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.