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Finding the Third Proportional to 57,875,751,249 and 125,368,661,250

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Solution

The third proportional to 57,875,751,249 and 125,368,661,250 is: 271,569,714,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,875,751,249 : 125,368,661,250 = 125,368,661,250 : x
  2. Step 2: Convert to fraction form
    57,875,751,249/125,368,661,250 = 125,368,661,250/x
  3. Step 3: Cross multiply
    57,875,751,249x = 125,368,661,250 × 125,368,661,250
  4. Step 4: Simplify right side
    57,875,751,249x = 15,717,301,223,617,252,556,800
  5. Step 5: Solve for x
    x = 15,717,301,223,617,252,556,800/57,875,751,249
  6. Step 6: Final answer
    x = 271,569,714,162.27

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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.