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Finding the Third Proportional to 75,458,832 and 161,675,760

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Solution

The third proportional to 75,458,832 and 161,675,760 is: 346,401,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,458,832 : 161,675,760 = 161,675,760 : x
  2. Step 2: Convert to fraction form
    75,458,832/161,675,760 = 161,675,760/x
  3. Step 3: Cross multiply
    75,458,832x = 161,675,760 × 161,675,760
  4. Step 4: Simplify right side
    75,458,832x = 26,139,051,371,577,600
  5. Step 5: Solve for x
    x = 26,139,051,371,577,600/75,458,832
  6. Step 6: Final answer
    x = 346,401,483.81

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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.