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Finding the Third Proportional to 47,992,879.50 and 77,284,343.25

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Solution

The third proportional to 47,992,879.50 and 77,284,343.25 is: 124,453,247.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,992,879.50 : 77,284,343.25 = 77,284,343.25 : x
  2. Step 2: Convert to fraction form
    47,992,879.50/77,284,343.25 = 77,284,343.25/x
  3. Step 3: Cross multiply
    47,992,879.50x = 77,284,343.25 × 77,284,343.25
  4. Step 4: Simplify right side
    47,992,879.50x = 5,972,869,711,583,821
  5. Step 5: Solve for x
    x = 5,972,869,711,583,821/47,992,879.50
  6. Step 6: Final answer
    x = 124,453,247.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.