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Finding the Third Proportional to 31,883,472 and 50,757,490.50

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Solution

The third proportional to 31,883,472 and 50,757,490.50 is: 80,804,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,883,472 : 50,757,490.50 = 50,757,490.50 : x
  2. Step 2: Convert to fraction form
    31,883,472/50,757,490.50 = 50,757,490.50/x
  3. Step 3: Cross multiply
    31,883,472x = 50,757,490.50 × 50,757,490.50
  4. Step 4: Simplify right side
    31,883,472x = 2,576,322,841,857,590
  5. Step 5: Solve for x
    x = 2,576,322,841,857,590/31,883,472
  6. Step 6: Final answer
    x = 80,804,337.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.