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Finding the Third Proportional to 23,038,573.50 and 49,496,133

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Solution

The third proportional to 23,038,573.50 and 49,496,133 is: 106,337,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038,573.50 : 49,496,133 = 49,496,133 : x
  2. Step 2: Convert to fraction form
    23,038,573.50/49,496,133 = 49,496,133/x
  3. Step 3: Cross multiply
    23,038,573.50x = 49,496,133 × 49,496,133
  4. Step 4: Simplify right side
    23,038,573.50x = 2,449,867,181,953,689
  5. Step 5: Solve for x
    x = 2,449,867,181,953,689/23,038,573.50
  6. Step 6: Final answer
    x = 106,337,624.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.