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Finding the Third Proportional to 34,827,792 and 81,328,592

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Solution

The third proportional to 34,827,792 and 81,328,592 is: 189,915,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,827,792 : 81,328,592 = 81,328,592 : x
  2. Step 2: Convert to fraction form
    34,827,792/81,328,592 = 81,328,592/x
  3. Step 3: Cross multiply
    34,827,792x = 81,328,592 × 81,328,592
  4. Step 4: Simplify right side
    34,827,792x = 6,614,339,876,702,464
  5. Step 5: Solve for x
    x = 6,614,339,876,702,464/34,827,792
  6. Step 6: Final answer
    x = 189,915,567.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.