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Finding the Third Proportional to 23,038,576.50 and 49,496,143.50

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Solution

The third proportional to 23,038,576.50 and 49,496,143.50 is: 106,337,655.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038,576.50 : 49,496,143.50 = 49,496,143.50 : x
  2. Step 2: Convert to fraction form
    23,038,576.50/49,496,143.50 = 49,496,143.50/x
  3. Step 3: Cross multiply
    23,038,576.50x = 49,496,143.50 × 49,496,143.50
  4. Step 4: Simplify right side
    23,038,576.50x = 2,449,868,221,372,592
  5. Step 5: Solve for x
    x = 2,449,868,221,372,592/23,038,576.50
  6. Step 6: Final answer
    x = 106,337,655.95

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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.