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Finding the Third Proportional to 49,881,549 and 116,545,791

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Solution

The third proportional to 49,881,549 and 116,545,791 is: 272,303,520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,881,549 : 116,545,791 = 116,545,791 : x
  2. Step 2: Convert to fraction form
    49,881,549/116,545,791 = 116,545,791/x
  3. Step 3: Cross multiply
    49,881,549x = 116,545,791 × 116,545,791
  4. Step 4: Simplify right side
    49,881,549x = 13,582,921,399,815,680
  5. Step 5: Solve for x
    x = 13,582,921,399,815,680/49,881,549
  6. Step 6: Final answer
    x = 272,303,520.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.