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Finding the Third Proportional to 23,038,557 and 49,496,103

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Solution

The third proportional to 23,038,557 and 49,496,103 is: 106,337,571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038,557 : 49,496,103 = 49,496,103 : x
  2. Step 2: Convert to fraction form
    23,038,557/49,496,103 = 49,496,103/x
  3. Step 3: Cross multiply
    23,038,557x = 49,496,103 × 49,496,103
  4. Step 4: Simplify right side
    23,038,557x = 2,449,864,212,186,609
  5. Step 5: Solve for x
    x = 2,449,864,212,186,609/23,038,557
  6. Step 6: Final answer
    x = 106,337,571.93

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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.