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Finding the Third Proportional to 38,262,655,024 and 53,858,770,224

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Solution

The third proportional to 38,262,655,024 and 53,858,770,224 is: 75,811,966,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,262,655,024 : 53,858,770,224 = 53,858,770,224 : x
  2. Step 2: Convert to fraction form
    38,262,655,024/53,858,770,224 = 53,858,770,224/x
  3. Step 3: Cross multiply
    38,262,655,024x = 53,858,770,224 × 53,858,770,224
  4. Step 4: Simplify right side
    38,262,655,024x = 2,900,767,130,041,628,753,920
  5. Step 5: Solve for x
    x = 2,900,767,130,041,628,753,920/38,262,655,024
  6. Step 6: Final answer
    x = 75,811,966,739.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.