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Finding the Third Proportional to 3,627,991,331,755.80 and 7,958,380,473,301.10

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Solution

The third proportional to 3,627,991,331,755.80 and 7,958,380,473,301.10 is: 17,457,544,400,242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627,991,331,755.80 : 7,958,380,473,301.10 = 7,958,380,473,301.10 : x
  2. Step 2: Convert to fraction form
    3,627,991,331,755.80/7,958,380,473,301.10 = 7,958,380,473,301.10/x
  3. Step 3: Cross multiply
    3,627,991,331,755.80x = 7,958,380,473,301.10 × 7,958,380,473,301.10
  4. Step 4: Simplify right side
    3,627,991,331,755.80x = 63,335,819,757,820,232,616,378,368
  5. Step 5: Solve for x
    x = 63,335,819,757,820,232,616,378,368/3,627,991,331,755.80
  6. Step 6: Final answer
    x = 17,457,544,400,242.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.