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Finding the Third Proportional to 33,442,925 and 73,462,431

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Solution

The third proportional to 33,442,925 and 73,462,431 is: 161,371,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,442,925 : 73,462,431 = 73,462,431 : x
  2. Step 2: Convert to fraction form
    33,442,925/73,462,431 = 73,462,431/x
  3. Step 3: Cross multiply
    33,442,925x = 73,462,431 × 73,462,431
  4. Step 4: Simplify right side
    33,442,925x = 5,396,728,768,429,761
  5. Step 5: Solve for x
    x = 5,396,728,768,429,761/33,442,925
  6. Step 6: Final answer
    x = 161,371,314.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.