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Finding the Third Proportional to 35,820,069 and 54,029,721

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Solution

The third proportional to 35,820,069 and 54,029,721 is: 81,496,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,820,069 : 54,029,721 = 54,029,721 : x
  2. Step 2: Convert to fraction form
    35,820,069/54,029,721 = 54,029,721/x
  3. Step 3: Cross multiply
    35,820,069x = 54,029,721 × 54,029,721
  4. Step 4: Simplify right side
    35,820,069x = 2,919,210,751,337,841
  5. Step 5: Solve for x
    x = 2,919,210,751,337,841/35,820,069
  6. Step 6: Final answer
    x = 81,496,513.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.