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Finding the Third Proportional to 77,738,124 and 170,120,471

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Solution

The third proportional to 77,738,124 and 170,120,471 is: 372,288,050.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,738,124 : 170,120,471 = 170,120,471 : x
  2. Step 2: Convert to fraction form
    77,738,124/170,120,471 = 170,120,471/x
  3. Step 3: Cross multiply
    77,738,124x = 170,120,471 × 170,120,471
  4. Step 4: Simplify right side
    77,738,124x = 28,940,974,653,261,840
  5. Step 5: Solve for x
    x = 28,940,974,653,261,840/77,738,124
  6. Step 6: Final answer
    x = 372,288,050.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.