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Finding the Third Proportional to 87,851,729,788 and 123,714,594,504

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Solution

The third proportional to 87,851,729,788 and 123,714,594,504 is: 174,217,410,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,851,729,788 : 123,714,594,504 = 123,714,594,504 : x
  2. Step 2: Convert to fraction form
    87,851,729,788/123,714,594,504 = 123,714,594,504/x
  3. Step 3: Cross multiply
    87,851,729,788x = 123,714,594,504 × 123,714,594,504
  4. Step 4: Simplify right side
    87,851,729,788x = 15,305,300,893,289,146,220,544
  5. Step 5: Solve for x
    x = 15,305,300,893,289,146,220,544/87,851,729,788
  6. Step 6: Final answer
    x = 174,217,410,746.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.