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Finding the Third Proportional to 49,276,739 and 114,072,462

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Solution

The third proportional to 49,276,739 and 114,072,462 is: 264,070,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,276,739 : 114,072,462 = 114,072,462 : x
  2. Step 2: Convert to fraction form
    49,276,739/114,072,462 = 114,072,462/x
  3. Step 3: Cross multiply
    49,276,739x = 114,072,462 × 114,072,462
  4. Step 4: Simplify right side
    49,276,739x = 13,012,526,586,741,444
  5. Step 5: Solve for x
    x = 13,012,526,586,741,444/49,276,739
  6. Step 6: Final answer
    x = 264,070,367.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.