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Finding the Third Proportional to 372,588,527,145 and 810,458,416,770

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Solution

The third proportional to 372,588,527,145 and 810,458,416,770 is: 1,762,917,528,208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,588,527,145 : 810,458,416,770 = 810,458,416,770 : x
  2. Step 2: Convert to fraction form
    372,588,527,145/810,458,416,770 = 810,458,416,770/x
  3. Step 3: Cross multiply
    372,588,527,145x = 810,458,416,770 × 810,458,416,770
  4. Step 4: Simplify right side
    372,588,527,145x = 656,842,845,313,334,975,135,744
  5. Step 5: Solve for x
    x = 656,842,845,313,334,975,135,744/372,588,527,145
  6. Step 6: Final answer
    x = 1,762,917,528,208.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.