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Finding the Third Proportional to 31,177,342 and 48,392,778

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Solution

The third proportional to 31,177,342 and 48,392,778 is: 75,114,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,177,342 : 48,392,778 = 48,392,778 : x
  2. Step 2: Convert to fraction form
    31,177,342/48,392,778 = 48,392,778/x
  3. Step 3: Cross multiply
    31,177,342x = 48,392,778 × 48,392,778
  4. Step 4: Simplify right side
    31,177,342x = 2,341,860,962,557,284
  5. Step 5: Solve for x
    x = 2,341,860,962,557,284/31,177,342
  6. Step 6: Final answer
    x = 75,114,195.51

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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.