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Finding the Third Proportional to 27,268,962 and 43,411,278

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Solution

The third proportional to 27,268,962 and 43,411,278 is: 69,109,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,268,962 : 43,411,278 = 43,411,278 : x
  2. Step 2: Convert to fraction form
    27,268,962/43,411,278 = 43,411,278/x
  3. Step 3: Cross multiply
    27,268,962x = 43,411,278 × 43,411,278
  4. Step 4: Simplify right side
    27,268,962x = 1,884,539,057,593,284
  5. Step 5: Solve for x
    x = 1,884,539,057,593,284/27,268,962
  6. Step 6: Final answer
    x = 69,109,306.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.