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Finding the Third Proportional to 8,765,661,761 and 18,772,504,210

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Solution

The third proportional to 8,765,661,761 and 18,772,504,210 is: 40,203,115,739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765,661,761 : 18,772,504,210 = 18,772,504,210 : x
  2. Step 2: Convert to fraction form
    8,765,661,761/18,772,504,210 = 18,772,504,210/x
  3. Step 3: Cross multiply
    8,765,661,761x = 18,772,504,210 × 18,772,504,210
  4. Step 4: Simplify right side
    8,765,661,761x = 352,406,914,314,467,737,600
  5. Step 5: Solve for x
    x = 352,406,914,314,467,737,600/8,765,661,761
  6. Step 6: Final answer
    x = 40,203,115,739.92

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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.