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Finding the Third Proportional to 38,585,009 and 84,942,355

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Solution

The third proportional to 38,585,009 and 84,942,355 is: 186,994,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,585,009 : 84,942,355 = 84,942,355 : x
  2. Step 2: Convert to fraction form
    38,585,009/84,942,355 = 84,942,355/x
  3. Step 3: Cross multiply
    38,585,009x = 84,942,355 × 84,942,355
  4. Step 4: Simplify right side
    38,585,009x = 7,215,203,672,946,025
  5. Step 5: Solve for x
    x = 7,215,203,672,946,025/38,585,009
  6. Step 6: Final answer
    x = 186,994,997.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.