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Finding the Third Proportional to 78,324,734 and 170,585,032

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Solution

The third proportional to 78,324,734 and 170,585,032 is: 371,520,612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,324,734 : 170,585,032 = 170,585,032 : x
  2. Step 2: Convert to fraction form
    78,324,734/170,585,032 = 170,585,032/x
  3. Step 3: Cross multiply
    78,324,734x = 170,585,032 × 170,585,032
  4. Step 4: Simplify right side
    78,324,734x = 29,099,253,142,441,024
  5. Step 5: Solve for x
    x = 29,099,253,142,441,024/78,324,734
  6. Step 6: Final answer
    x = 371,520,612.41

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