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Finding the Third Proportional to 57,485,818,157 and 125,808,581,863

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Solution

The third proportional to 57,485,818,157 and 125,808,581,863 is: 275,333,982,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,485,818,157 : 125,808,581,863 = 125,808,581,863 : x
  2. Step 2: Convert to fraction form
    57,485,818,157/125,808,581,863 = 125,808,581,863/x
  3. Step 3: Cross multiply
    57,485,818,157x = 125,808,581,863 × 125,808,581,863
  4. Step 4: Simplify right side
    57,485,818,157x = 15,827,799,270,379,172,659,200
  5. Step 5: Solve for x
    x = 15,827,799,270,379,172,659,200/57,485,818,157
  6. Step 6: Final answer
    x = 275,333,982,846.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.