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Finding the Third Proportional to 79,943,878,131 and 177,762,066,401

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Solution

The third proportional to 79,943,878,131 and 177,762,066,401 is: 395,269,193,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,943,878,131 : 177,762,066,401 = 177,762,066,401 : x
  2. Step 2: Convert to fraction form
    79,943,878,131/177,762,066,401 = 177,762,066,401/x
  3. Step 3: Cross multiply
    79,943,878,131x = 177,762,066,401 × 177,762,066,401
  4. Step 4: Simplify right side
    79,943,878,131x = 31,599,352,251,153,534,418,944
  5. Step 5: Solve for x
    x = 31,599,352,251,153,534,418,944/79,943,878,131
  6. Step 6: Final answer
    x = 395,269,193,713.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.