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Finding the Third Proportional to 16,013,100,415 and 33,351,577,505

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Solution

The third proportional to 16,013,100,415 and 33,351,577,505 is: 69,463,607,499.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013,100,415 : 33,351,577,505 = 33,351,577,505 : x
  2. Step 2: Convert to fraction form
    16,013,100,415/33,351,577,505 = 33,351,577,505/x
  3. Step 3: Cross multiply
    16,013,100,415x = 33,351,577,505 × 33,351,577,505
  4. Step 4: Simplify right side
    16,013,100,415x = 1,112,327,722,072,022,056,960
  5. Step 5: Solve for x
    x = 1,112,327,722,072,022,056,960/16,013,100,415
  6. Step 6: Final answer
    x = 69,463,607,499.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.