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Finding the Third Proportional to 57,875,751,185.50 and 125,368,661,153

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Solution

The third proportional to 57,875,751,185.50 and 125,368,661,153 is: 271,569,714,039.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,875,751,185.50 : 125,368,661,153 = 125,368,661,153 : x
  2. Step 2: Convert to fraction form
    57,875,751,185.50/125,368,661,153 = 125,368,661,153/x
  3. Step 3: Cross multiply
    57,875,751,185.50x = 125,368,661,153 × 125,368,661,153
  4. Step 4: Simplify right side
    57,875,751,185.50x = 15,717,301,199,295,731,466,240
  5. Step 5: Solve for x
    x = 15,717,301,199,295,731,466,240/57,875,751,185.50
  6. Step 6: Final answer
    x = 271,569,714,039.99

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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.