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Finding the Third Proportional to 34,853,322 and 75,751,494

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Solution

The third proportional to 34,853,322 and 75,751,494 is: 164,641,087.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,853,322 : 75,751,494 = 75,751,494 : x
  2. Step 2: Convert to fraction form
    34,853,322/75,751,494 = 75,751,494/x
  3. Step 3: Cross multiply
    34,853,322x = 75,751,494 × 75,751,494
  4. Step 4: Simplify right side
    34,853,322x = 5,738,288,843,232,036
  5. Step 5: Solve for x
    x = 5,738,288,843,232,036/34,853,322
  6. Step 6: Final answer
    x = 164,641,087.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.