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Finding the Third Proportional to 51,049,456 and 77,181,780

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Solution

The third proportional to 51,049,456 and 77,181,780 is: 116,691,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,049,456 : 77,181,780 = 77,181,780 : x
  2. Step 2: Convert to fraction form
    51,049,456/77,181,780 = 77,181,780/x
  3. Step 3: Cross multiply
    51,049,456x = 77,181,780 × 77,181,780
  4. Step 4: Simplify right side
    51,049,456x = 5,957,027,163,968,400
  5. Step 5: Solve for x
    x = 5,957,027,163,968,400/51,049,456
  6. Step 6: Final answer
    x = 116,691,295.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.