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Finding the Third Proportional to 23,507,020.50 and 49,393,495.50

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Solution

The third proportional to 23,507,020.50 and 49,393,495.50 is: 103,786,755.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507,020.50 : 49,393,495.50 = 49,393,495.50 : x
  2. Step 2: Convert to fraction form
    23,507,020.50/49,393,495.50 = 49,393,495.50/x
  3. Step 3: Cross multiply
    23,507,020.50x = 49,393,495.50 × 49,393,495.50
  4. Step 4: Simplify right side
    23,507,020.50x = 2,439,717,397,708,520
  5. Step 5: Solve for x
    x = 2,439,717,397,708,520/23,507,020.50
  6. Step 6: Final answer
    x = 103,786,755.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.