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Finding the Third Proportional to 50,824,800 and 78,532,742

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Solution

The third proportional to 50,824,800 and 78,532,742 is: 121,346,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,824,800 : 78,532,742 = 78,532,742 : x
  2. Step 2: Convert to fraction form
    50,824,800/78,532,742 = 78,532,742/x
  3. Step 3: Cross multiply
    50,824,800x = 78,532,742 × 78,532,742
  4. Step 4: Simplify right side
    50,824,800x = 6,167,391,566,038,564
  5. Step 5: Solve for x
    x = 6,167,391,566,038,564/50,824,800
  6. Step 6: Final answer
    x = 121,346,105.96

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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.