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Finding the Third Proportional to 37,727,762 and 80,833,906

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Solution

The third proportional to 37,727,762 and 80,833,906 is: 173,191,305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,727,762 : 80,833,906 = 80,833,906 : x
  2. Step 2: Convert to fraction form
    37,727,762/80,833,906 = 80,833,906/x
  3. Step 3: Cross multiply
    37,727,762x = 80,833,906 × 80,833,906
  4. Step 4: Simplify right side
    37,727,762x = 6,534,120,359,216,836
  5. Step 5: Solve for x
    x = 6,534,120,359,216,836/37,727,762
  6. Step 6: Final answer
    x = 173,191,305.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.