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Finding the Third Proportional to 75,044,734,314 and 114,325,461,761

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Solution

The third proportional to 75,044,734,314 and 114,325,461,761 is: 174,166,932,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,044,734,314 : 114,325,461,761 = 114,325,461,761 : x
  2. Step 2: Convert to fraction form
    75,044,734,314/114,325,461,761 = 114,325,461,761/x
  3. Step 3: Cross multiply
    75,044,734,314x = 114,325,461,761 × 114,325,461,761
  4. Step 4: Simplify right side
    75,044,734,314x = 13,070,311,206,865,873,141,760
  5. Step 5: Solve for x
    x = 13,070,311,206,865,873,141,760/75,044,734,314
  6. Step 6: Final answer
    x = 174,166,932,914.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.