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Finding the Third Proportional to 31,380,450.75 and 73,278,495

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Solution

The third proportional to 31,380,450.75 and 73,278,495 is: 171,117,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,380,450.75 : 73,278,495 = 73,278,495 : x
  2. Step 2: Convert to fraction form
    31,380,450.75/73,278,495 = 73,278,495/x
  3. Step 3: Cross multiply
    31,380,450.75x = 73,278,495 × 73,278,495
  4. Step 4: Simplify right side
    31,380,450.75x = 5,369,737,829,465,025
  5. Step 5: Solve for x
    x = 5,369,737,829,465,025/31,380,450.75
  6. Step 6: Final answer
    x = 171,117,294.40

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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.