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Finding the Third Proportional to 8,765,661,759 and 18,772,504,206

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Solution

The third proportional to 8,765,661,759 and 18,772,504,206 is: 40,203,115,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765,661,759 : 18,772,504,206 = 18,772,504,206 : x
  2. Step 2: Convert to fraction form
    8,765,661,759/18,772,504,206 = 18,772,504,206/x
  3. Step 3: Cross multiply
    8,765,661,759x = 18,772,504,206 × 18,772,504,206
  4. Step 4: Simplify right side
    8,765,661,759x = 352,406,914,164,287,668,224
  5. Step 5: Solve for x
    x = 352,406,914,164,287,668,224/8,765,661,759
  6. Step 6: Final answer
    x = 40,203,115,731.96

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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.