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Finding the Third Proportional to 50,824,801 and 78,532,743

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Solution

The third proportional to 50,824,801 and 78,532,743 is: 121,346,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,824,801 : 78,532,743 = 78,532,743 : x
  2. Step 2: Convert to fraction form
    50,824,801/78,532,743 = 78,532,743/x
  3. Step 3: Cross multiply
    50,824,801x = 78,532,743 × 78,532,743
  4. Step 4: Simplify right side
    50,824,801x = 6,167,391,723,104,049
  5. Step 5: Solve for x
    x = 6,167,391,723,104,049/50,824,801
  6. Step 6: Final answer
    x = 121,346,106.66

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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.