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Finding the Third Proportional to 50,165,740.50 and 76,747,938.75

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Solution

The third proportional to 50,165,740.50 and 76,747,938.75 is: 117,415,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,165,740.50 : 76,747,938.75 = 76,747,938.75 : x
  2. Step 2: Convert to fraction form
    50,165,740.50/76,747,938.75 = 76,747,938.75/x
  3. Step 3: Cross multiply
    50,165,740.50x = 76,747,938.75 × 76,747,938.75
  4. Step 4: Simplify right side
    50,165,740.50x = 5,890,246,102,373,752
  5. Step 5: Solve for x
    x = 5,890,246,102,373,752/50,165,740.50
  6. Step 6: Final answer
    x = 117,415,711.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.