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Finding the Third Proportional to 34,211,790 and 74,446,578

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Solution

The third proportional to 34,211,790 and 74,446,578 is: 161,999,502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,211,790 : 74,446,578 = 74,446,578 : x
  2. Step 2: Convert to fraction form
    34,211,790/74,446,578 = 74,446,578/x
  3. Step 3: Cross multiply
    34,211,790x = 74,446,578 × 74,446,578
  4. Step 4: Simplify right side
    34,211,790x = 5,542,292,975,910,084
  5. Step 5: Solve for x
    x = 5,542,292,975,910,084/34,211,790
  6. Step 6: Final answer
    x = 161,999,502.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.