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Finding the Third Proportional to 49,980,334.50 and 75,503,083.50

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Solution

The third proportional to 49,980,334.50 and 75,503,083.50 is: 114,059,172.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,980,334.50 : 75,503,083.50 = 75,503,083.50 : x
  2. Step 2: Convert to fraction form
    49,980,334.50/75,503,083.50 = 75,503,083.50/x
  3. Step 3: Cross multiply
    49,980,334.50x = 75,503,083.50 × 75,503,083.50
  4. Step 4: Simplify right side
    49,980,334.50x = 5,700,715,618,007,972
  5. Step 5: Solve for x
    x = 5,700,715,618,007,972/49,980,334.50
  6. Step 6: Final answer
    x = 114,059,172.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.