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Finding the Third Proportional to 7,865,493,991 and 16,852,892,009

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Solution

The third proportional to 7,865,493,991 and 16,852,892,009 is: 36,109,616,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865,493,991 : 16,852,892,009 = 16,852,892,009 : x
  2. Step 2: Convert to fraction form
    7,865,493,991/16,852,892,009 = 16,852,892,009/x
  3. Step 3: Cross multiply
    7,865,493,991x = 16,852,892,009 × 16,852,892,009
  4. Step 4: Simplify right side
    7,865,493,991x = 284,019,969,067,016,060,928
  5. Step 5: Solve for x
    x = 284,019,969,067,016,060,928/7,865,493,991
  6. Step 6: Final answer
    x = 36,109,616,178.21

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Why These Related Problems?

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