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Finding the Third Proportional to 76,015,768 and 165,965,254

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Solution

The third proportional to 76,015,768 and 165,965,254 is: 362,351,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,015,768 : 165,965,254 = 165,965,254 : x
  2. Step 2: Convert to fraction form
    76,015,768/165,965,254 = 165,965,254/x
  3. Step 3: Cross multiply
    76,015,768x = 165,965,254 × 165,965,254
  4. Step 4: Simplify right side
    76,015,768x = 27,544,465,535,284,516
  5. Step 5: Solve for x
    x = 27,544,465,535,284,516/76,015,768
  6. Step 6: Final answer
    x = 362,351,999.59

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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.