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Finding the Third Proportional to 31,959,648 and 49,431,024

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Solution

The third proportional to 31,959,648 and 49,431,024 is: 76,453,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,959,648 : 49,431,024 = 49,431,024 : x
  2. Step 2: Convert to fraction form
    31,959,648/49,431,024 = 49,431,024/x
  3. Step 3: Cross multiply
    31,959,648x = 49,431,024 × 49,431,024
  4. Step 4: Simplify right side
    31,959,648x = 2,443,426,133,688,576
  5. Step 5: Solve for x
    x = 2,443,426,133,688,576/31,959,648
  6. Step 6: Final answer
    x = 76,453,474.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.