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Finding the Third Proportional to 50,824,798.50 and 78,532,740

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Solution

The third proportional to 50,824,798.50 and 78,532,740 is: 121,346,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,824,798.50 : 78,532,740 = 78,532,740 : x
  2. Step 2: Convert to fraction form
    50,824,798.50/78,532,740 = 78,532,740/x
  3. Step 3: Cross multiply
    50,824,798.50x = 78,532,740 × 78,532,740
  4. Step 4: Simplify right side
    50,824,798.50x = 6,167,391,251,907,600
  5. Step 5: Solve for x
    x = 6,167,391,251,907,600/50,824,798.50
  6. Step 6: Final answer
    x = 121,346,103.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.