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Finding the Third Proportional to 42,043,053 and 91,224,474

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Solution

The third proportional to 42,043,053 and 91,224,474 is: 197,937,686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,043,053 : 91,224,474 = 91,224,474 : x
  2. Step 2: Convert to fraction form
    42,043,053/91,224,474 = 91,224,474/x
  3. Step 3: Cross multiply
    42,043,053x = 91,224,474 × 91,224,474
  4. Step 4: Simplify right side
    42,043,053x = 8,321,904,656,576,676
  5. Step 5: Solve for x
    x = 8,321,904,656,576,676/42,043,053
  6. Step 6: Final answer
    x = 197,937,686.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.