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Finding the Third Proportional to 11,188,647,217,786 and 24,347,476,601,901

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Solution

The third proportional to 11,188,647,217,786 and 24,347,476,601,901 is: 52,982,242,208,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188,647,217,786 : 24,347,476,601,901 = 24,347,476,601,901 : x
  2. Step 2: Convert to fraction form
    11,188,647,217,786/24,347,476,601,901 = 24,347,476,601,901/x
  3. Step 3: Cross multiply
    11,188,647,217,786x = 24,347,476,601,901 × 24,347,476,601,901
  4. Step 4: Simplify right side
    11,188,647,217,786x = 592,799,616,880,116,654,124,564,480
  5. Step 5: Solve for x
    x = 592,799,616,880,116,654,124,564,480/11,188,647,217,786
  6. Step 6: Final answer
    x = 52,982,242,208,671.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.