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Finding the Third Proportional to 30,083,965 and 46,505,971

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Solution

The third proportional to 30,083,965 and 46,505,971 is: 71,892,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,083,965 : 46,505,971 = 46,505,971 : x
  2. Step 2: Convert to fraction form
    30,083,965/46,505,971 = 46,505,971/x
  3. Step 3: Cross multiply
    30,083,965x = 46,505,971 × 46,505,971
  4. Step 4: Simplify right side
    30,083,965x = 2,162,805,338,652,841
  5. Step 5: Solve for x
    x = 2,162,805,338,652,841/30,083,965
  6. Step 6: Final answer
    x = 71,892,296.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.