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Finding the Third Proportional to 23,509,381.50 and 49,863,331.50

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Solution

The third proportional to 23,509,381.50 and 49,863,331.50 is: 105,759,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509,381.50 : 49,863,331.50 = 49,863,331.50 : x
  2. Step 2: Convert to fraction form
    23,509,381.50/49,863,331.50 = 49,863,331.50/x
  3. Step 3: Cross multiply
    23,509,381.50x = 49,863,331.50 × 49,863,331.50
  4. Step 4: Simplify right side
    23,509,381.50x = 2,486,351,828,278,892
  5. Step 5: Solve for x
    x = 2,486,351,828,278,892/23,509,381.50
  6. Step 6: Final answer
    x = 105,759,984.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.