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Finding the Third Proportional to 31,177,338 and 48,392,772

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Solution

The third proportional to 31,177,338 and 48,392,772 is: 75,114,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,177,338 : 48,392,772 = 48,392,772 : x
  2. Step 2: Convert to fraction form
    31,177,338/48,392,772 = 48,392,772/x
  3. Step 3: Cross multiply
    31,177,338x = 48,392,772 × 48,392,772
  4. Step 4: Simplify right side
    31,177,338x = 2,341,860,381,843,984
  5. Step 5: Solve for x
    x = 2,341,860,381,843,984/31,177,338
  6. Step 6: Final answer
    x = 75,114,186.52

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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.