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Finding the Third Proportional to 43,590,705,811 and 68,231,360,208

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Solution

The third proportional to 43,590,705,811 and 68,231,360,208 is: 106,800,714,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,590,705,811 : 68,231,360,208 = 68,231,360,208 : x
  2. Step 2: Convert to fraction form
    43,590,705,811/68,231,360,208 = 68,231,360,208/x
  3. Step 3: Cross multiply
    43,590,705,811x = 68,231,360,208 × 68,231,360,208
  4. Step 4: Simplify right side
    43,590,705,811x = 4,655,518,515,833,845,841,920
  5. Step 5: Solve for x
    x = 4,655,518,515,833,845,841,920/43,590,705,811
  6. Step 6: Final answer
    x = 106,800,714,262.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.