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Finding the Third Proportional to 49,478,950.50 and 75,498,180.75

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Solution

The third proportional to 49,478,950.50 and 75,498,180.75 is: 115,200,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,478,950.50 : 75,498,180.75 = 75,498,180.75 : x
  2. Step 2: Convert to fraction form
    49,478,950.50/75,498,180.75 = 75,498,180.75/x
  3. Step 3: Cross multiply
    49,478,950.50x = 75,498,180.75 × 75,498,180.75
  4. Step 4: Simplify right side
    49,478,950.50x = 5,699,975,296,559,671
  5. Step 5: Solve for x
    x = 5,699,975,296,559,671/49,478,950.50
  6. Step 6: Final answer
    x = 115,200,004.02

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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.