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Finding the Third Proportional to 75,781,674 and 159,485,364

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Solution

The third proportional to 75,781,674 and 159,485,364 is: 335,642,906.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,781,674 : 159,485,364 = 159,485,364 : x
  2. Step 2: Convert to fraction form
    75,781,674/159,485,364 = 159,485,364/x
  3. Step 3: Cross multiply
    75,781,674x = 159,485,364 × 159,485,364
  4. Step 4: Simplify right side
    75,781,674x = 25,435,581,330,212,496
  5. Step 5: Solve for x
    x = 25,435,581,330,212,496/75,781,674
  6. Step 6: Final answer
    x = 335,642,906.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.