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Finding the Third Proportional to 44,364,703,898 and 104,624,289,008

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Solution

The third proportional to 44,364,703,898 and 104,624,289,008 is: 246,733,120,897.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,364,703,898 : 104,624,289,008 = 104,624,289,008 : x
  2. Step 2: Convert to fraction form
    44,364,703,898/104,624,289,008 = 104,624,289,008/x
  3. Step 3: Cross multiply
    44,364,703,898x = 104,624,289,008 × 104,624,289,008
  4. Step 4: Simplify right side
    44,364,703,898x = 10,946,241,850,429,509,992,448
  5. Step 5: Solve for x
    x = 10,946,241,850,429,509,992,448/44,364,703,898
  6. Step 6: Final answer
    x = 246,733,120,897.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.