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Finding the Third Proportional to 75,431,041 and 162,881,834

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Solution

The third proportional to 75,431,041 and 162,881,834 is: 351,718,490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,431,041 : 162,881,834 = 162,881,834 : x
  2. Step 2: Convert to fraction form
    75,431,041/162,881,834 = 162,881,834/x
  3. Step 3: Cross multiply
    75,431,041x = 162,881,834 × 162,881,834
  4. Step 4: Simplify right side
    75,431,041x = 26,530,491,847,203,556
  5. Step 5: Solve for x
    x = 26,530,491,847,203,556/75,431,041
  6. Step 6: Final answer
    x = 351,718,490.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.