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Finding the Third Proportional to 16,013,052,577 and 33,351,495,783

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Solution

The third proportional to 16,013,052,577 and 33,351,495,783 is: 69,463,474,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013,052,577 : 33,351,495,783 = 33,351,495,783 : x
  2. Step 2: Convert to fraction form
    16,013,052,577/33,351,495,783 = 33,351,495,783/x
  3. Step 3: Cross multiply
    16,013,052,577x = 33,351,495,783 × 33,351,495,783
  4. Step 4: Simplify right side
    16,013,052,577x = 1,112,322,270,963,466,764,288
  5. Step 5: Solve for x
    x = 1,112,322,270,963,466,764,288/16,013,052,577
  6. Step 6: Final answer
    x = 69,463,474,600.78

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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.