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Finding the Third Proportional to 49,131,074 and 105,163,894

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Solution

The third proportional to 49,131,074 and 105,163,894 is: 225,100,810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,131,074 : 105,163,894 = 105,163,894 : x
  2. Step 2: Convert to fraction form
    49,131,074/105,163,894 = 105,163,894/x
  3. Step 3: Cross multiply
    49,131,074x = 105,163,894 × 105,163,894
  4. Step 4: Simplify right side
    49,131,074x = 11,059,444,601,243,236
  5. Step 5: Solve for x
    x = 11,059,444,601,243,236/49,131,074
  6. Step 6: Final answer
    x = 225,100,810.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.