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Finding the Third Proportional to 75,458,836 and 161,675,768

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Solution

The third proportional to 75,458,836 and 161,675,768 is: 346,401,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,458,836 : 161,675,768 = 161,675,768 : x
  2. Step 2: Convert to fraction form
    75,458,836/161,675,768 = 161,675,768/x
  3. Step 3: Cross multiply
    75,458,836x = 161,675,768 × 161,675,768
  4. Step 4: Simplify right side
    75,458,836x = 26,139,053,958,389,824
  5. Step 5: Solve for x
    x = 26,139,053,958,389,824/75,458,836
  6. Step 6: Final answer
    x = 346,401,499.73

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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.