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Finding the Third Proportional to 49,944,369,121 and 102,536,434,746

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Solution

The third proportional to 49,944,369,121 and 102,536,434,746 is: 210,508,624,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,944,369,121 : 102,536,434,746 = 102,536,434,746 : x
  2. Step 2: Convert to fraction form
    49,944,369,121/102,536,434,746 = 102,536,434,746/x
  3. Step 3: Cross multiply
    49,944,369,121x = 102,536,434,746 × 102,536,434,746
  4. Step 4: Simplify right side
    49,944,369,121x = 10,513,720,450,420,716,863,488
  5. Step 5: Solve for x
    x = 10,513,720,450,420,716,863,488/49,944,369,121
  6. Step 6: Final answer
    x = 210,508,624,604.89

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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.