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Finding the Third Proportional to 72,677,906 and 111,711,140

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Solution

The third proportional to 72,677,906 and 111,711,140 is: 171,708,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,677,906 : 111,711,140 = 111,711,140 : x
  2. Step 2: Convert to fraction form
    72,677,906/111,711,140 = 111,711,140/x
  3. Step 3: Cross multiply
    72,677,906x = 111,711,140 × 111,711,140
  4. Step 4: Simplify right side
    72,677,906x = 12,479,378,800,099,600
  5. Step 5: Solve for x
    x = 12,479,378,800,099,600/72,677,906
  6. Step 6: Final answer
    x = 171,708,012.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.