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Finding the Third Proportional to 29,965,514 and 65,763,656

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Solution

The third proportional to 29,965,514 and 65,763,656 is: 144,327,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965,514 : 65,763,656 = 65,763,656 : x
  2. Step 2: Convert to fraction form
    29,965,514/65,763,656 = 65,763,656/x
  3. Step 3: Cross multiply
    29,965,514x = 65,763,656 × 65,763,656
  4. Step 4: Simplify right side
    29,965,514x = 4,324,858,450,486,336
  5. Step 5: Solve for x
    x = 4,324,858,450,486,336/29,965,514
  6. Step 6: Final answer
    x = 144,327,858.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.