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Finding the Third Proportional to 57,485,818,155 and 125,808,581,859

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Solution

The third proportional to 57,485,818,155 and 125,808,581,859 is: 275,333,982,838.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,485,818,155 : 125,808,581,859 = 125,808,581,859 : x
  2. Step 2: Convert to fraction form
    57,485,818,155/125,808,581,859 = 125,808,581,859/x
  3. Step 3: Cross multiply
    57,485,818,155x = 125,808,581,859 × 125,808,581,859
  4. Step 4: Simplify right side
    57,485,818,155x = 15,827,799,269,372,703,277,056
  5. Step 5: Solve for x
    x = 15,827,799,269,372,703,277,056/57,485,818,155
  6. Step 6: Final answer
    x = 275,333,982,838.97

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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.