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Finding the Third Proportional to 76,015,765 and 165,965,248

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Solution

The third proportional to 76,015,765 and 165,965,248 is: 362,351,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,015,765 : 165,965,248 = 165,965,248 : x
  2. Step 2: Convert to fraction form
    76,015,765/165,965,248 = 165,965,248/x
  3. Step 3: Cross multiply
    76,015,765x = 165,965,248 × 165,965,248
  4. Step 4: Simplify right side
    76,015,765x = 27,544,463,543,701,504
  5. Step 5: Solve for x
    x = 27,544,463,543,701,504/76,015,765
  6. Step 6: Final answer
    x = 362,351,987.69

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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.