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Finding the Third Proportional to 57,676,920.43 and 82,418,951.67

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Solution

The third proportional to 57,676,920.43 and 82,418,951.67 is: 117,774,727.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,676,920.43 : 82,418,951.67 = 82,418,951.67 : x
  2. Step 2: Convert to fraction form
    57,676,920.43/82,418,951.67 = 82,418,951.67/x
  3. Step 3: Cross multiply
    57,676,920.43x = 82,418,951.67 × 82,418,951.67
  4. Step 4: Simplify right side
    57,676,920.43x = 6,792,883,594,690,867
  5. Step 5: Solve for x
    x = 6,792,883,594,690,867/57,676,920.43
  6. Step 6: Final answer
    x = 117,774,727.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.