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Finding the Third Proportional to 23,177,538 and 48,938,355

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Solution

The third proportional to 23,177,538 and 48,938,355 is: 103,331,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,177,538 : 48,938,355 = 48,938,355 : x
  2. Step 2: Convert to fraction form
    23,177,538/48,938,355 = 48,938,355/x
  3. Step 3: Cross multiply
    23,177,538x = 48,938,355 × 48,938,355
  4. Step 4: Simplify right side
    23,177,538x = 2,394,962,590,106,025
  5. Step 5: Solve for x
    x = 2,394,962,590,106,025/23,177,538
  6. Step 6: Final answer
    x = 103,331,190.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.