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Finding the Third Proportional to 51,044,007.94 and 78,458,313.66

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Solution

The third proportional to 51,044,007.94 and 78,458,313.66 is: 120,596,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,044,007.94 : 78,458,313.66 = 78,458,313.66 : x
  2. Step 2: Convert to fraction form
    51,044,007.94/78,458,313.66 = 78,458,313.66/x
  3. Step 3: Cross multiply
    51,044,007.94x = 78,458,313.66 × 78,458,313.66
  4. Step 4: Simplify right side
    51,044,007.94x = 6,155,706,981,782,505
  5. Step 5: Solve for x
    x = 6,155,706,981,782,505/51,044,007.94
  6. Step 6: Final answer
    x = 120,596,074.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.