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Finding the Third Proportional to 52,395,263,059.50 and 113,970,716,838.56

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Solution

The third proportional to 52,395,263,059.50 and 113,970,716,838.56 is: 247,910,279,254.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,395,263,059.50 : 113,970,716,838.56 = 113,970,716,838.56 : x
  2. Step 2: Convert to fraction form
    52,395,263,059.50/113,970,716,838.56 = 113,970,716,838.56/x
  3. Step 3: Cross multiply
    52,395,263,059.50x = 113,970,716,838.56 × 113,970,716,838.56
  4. Step 4: Simplify right side
    52,395,263,059.50x = 12,989,324,296,695,224,205,312
  5. Step 5: Solve for x
    x = 12,989,324,296,695,224,205,312/52,395,263,059.50
  6. Step 6: Final answer
    x = 247,910,279,254.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.