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Finding the Third Proportional to 76,015,799 and 165,965,318

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Solution

The third proportional to 76,015,799 and 165,965,318 is: 362,352,131.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,015,799 : 165,965,318 = 165,965,318 : x
  2. Step 2: Convert to fraction form
    76,015,799/165,965,318 = 165,965,318/x
  3. Step 3: Cross multiply
    76,015,799x = 165,965,318 × 165,965,318
  4. Step 4: Simplify right side
    76,015,799x = 27,544,486,778,841,124
  5. Step 5: Solve for x
    x = 27,544,486,778,841,124/76,015,799
  6. Step 6: Final answer
    x = 362,352,131.28

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Why These Related Problems?

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