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Finding the Third Proportional to 49,944,369,119 and 102,536,434,742

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Solution

The third proportional to 49,944,369,119 and 102,536,434,742 is: 210,508,624,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,944,369,119 : 102,536,434,742 = 102,536,434,742 : x
  2. Step 2: Convert to fraction form
    49,944,369,119/102,536,434,742 = 102,536,434,742/x
  3. Step 3: Cross multiply
    49,944,369,119x = 102,536,434,742 × 102,536,434,742
  4. Step 4: Simplify right side
    49,944,369,119x = 10,513,720,449,600,424,247,296
  5. Step 5: Solve for x
    x = 10,513,720,449,600,424,247,296/49,944,369,119
  6. Step 6: Final answer
    x = 210,508,624,596.90

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.