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Finding the Third Proportional to 32,504,869 and 67,700,166.50

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Solution

The third proportional to 32,504,869 and 67,700,166.50 is: 141,003,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,504,869 : 67,700,166.50 = 67,700,166.50 : x
  2. Step 2: Convert to fraction form
    32,504,869/67,700,166.50 = 67,700,166.50/x
  3. Step 3: Cross multiply
    32,504,869x = 67,700,166.50 × 67,700,166.50
  4. Step 4: Simplify right side
    32,504,869x = 4,583,312,544,127,722
  5. Step 5: Solve for x
    x = 4,583,312,544,127,722/32,504,869
  6. Step 6: Final answer
    x = 141,003,876.81

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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.