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Finding the Third Proportional to 30,291,514 and 65,201,971

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Solution

The third proportional to 30,291,514 and 65,201,971 is: 140,346,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291,514 : 65,201,971 = 65,201,971 : x
  2. Step 2: Convert to fraction form
    30,291,514/65,201,971 = 65,201,971/x
  3. Step 3: Cross multiply
    30,291,514x = 65,201,971 × 65,201,971
  4. Step 4: Simplify right side
    30,291,514x = 4,251,297,022,284,841
  5. Step 5: Solve for x
    x = 4,251,297,022,284,841/30,291,514
  6. Step 6: Final answer
    x = 140,346,138.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.