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Finding the Third Proportional to 17,538,763,752 and 36,007,310,633

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Solution

The third proportional to 17,538,763,752 and 36,007,310,633 is: 73,923,478,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538,763,752 : 36,007,310,633 = 36,007,310,633 : x
  2. Step 2: Convert to fraction form
    17,538,763,752/36,007,310,633 = 36,007,310,633/x
  3. Step 3: Cross multiply
    17,538,763,752x = 36,007,310,633 × 36,007,310,633
  4. Step 4: Simplify right side
    17,538,763,752x = 1,296,526,419,021,354,762,240
  5. Step 5: Solve for x
    x = 1,296,526,419,021,354,762,240/17,538,763,752
  6. Step 6: Final answer
    x = 73,923,478,151.28

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Why These Related Problems?

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