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Finding the Third Proportional to 75,770,364 and 163,665,534

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Solution

The third proportional to 75,770,364 and 163,665,534 is: 353,520,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,770,364 : 163,665,534 = 163,665,534 : x
  2. Step 2: Convert to fraction form
    75,770,364/163,665,534 = 163,665,534/x
  3. Step 3: Cross multiply
    75,770,364x = 163,665,534 × 163,665,534
  4. Step 4: Simplify right side
    75,770,364x = 26,786,407,019,505,156
  5. Step 5: Solve for x
    x = 26,786,407,019,505,156/75,770,364
  6. Step 6: Final answer
    x = 353,520,896.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.